Your mission is to rescue the beautiful princess from the evil lord. To rescue her you must complete 5 challenges. To complete a challenge you must answer.

Your mission is to rescue the beautiful princess from the evil lord. To rescue her you must complete 5 challenges. To complete a challenge you must answer 2 questions correctly. If you get an answer wrong, you must try another question. But be careful, if you get too many wrong answers you will lose the princess forever!! To begin your mission press the button To start press the button

The princess is being held captive in a castle surrounded by a thick forest. Your first challenge is to find your way through the forest. To enter the forest press the button.

Question A 1 a A bag contains coloured beads. The probability of picking a red bead is The probability of picking a blue bead is A bead is picked at random. What is the probability that the bead is red or blue? 4 14 3 8 1 6 2 7 13 24 7 24

Correct answer You can see some light through the trees ahead Press the button

Wrong answer You’re lost in the forest Press the button

Question A 1 b A four-sided spinner is numbered 1 to 4. The probability of landing on each number is given in the table below. What is the probability that the spinner lands on an odd number? NumberProbability 1 2 3 4 1 6 1 3 7 12 6 18 1 3 5 12 1 12 5 12

Correct answer You can see some light through the trees ahead Press the button

Wrong answer You’re still lost in the forest Press the button

Question A 1 c The probability of a traffic light being: red is 0.5 amber is 0.15 green is 0.35 What is the probability that the traffic light is either red or amber? 0.75 0.0750.200.65

Correct answer You can see some light through the trees ahead at last Press the button

Wrong answer You’re lost deep in the forest Press the button

Question A 1 d The probability that a football team: wins is 0.6 loses is 0.3 draws is 0.1 What is the probability that the football team wins or draws? Hint: P(event A or event B) = P(event A) + P(event B) P(wins or draws) = P(wins) + P(draws) 0.9 0.40.060.7

Correct answer You can see some light through the trees ahead eventually Press the button

Wrong answer You can’t find your way through the forest Press the button

The evil lord has escaped with the princess, you have lost her forever!! Press the button

Question A 2 a A bag contains coloured beads. The probability of picking a red bead is The probability of picking a blue bead is A bead is picked at random and replaced. Another bead is then picked at random. What is the probability that the first bead is red and the second is blue? 1 16 4 48 13 24 4 14 3 8 1 6

Correct answer You found your way through the forest Press the button

Wrong answer You’ve lost your way again Press the button

Question A 2 b A four-sided spinner is numbered 1 to 4. The probability of landing on each number is given in the table below. The spinner is spun twice. What is the probability that the spinner lands on 1 both times? NumberProbability 1 2 3 4 1 6 1 3 5 12 1 12 1 36 2 6 1 3 2 12

Correct answer You made it through the forest Press the button

Wrong answer You’re way out seems to have disappeared Press the button

Question A 2 c The probability of a traffic light being: red is 0.5 amber is 0.15 green is 0.35 Louise has to pass through two lights. What is the probability that the first traffic light is green and the second traffic light is red? 0.85 0.150.1751.75

Correct answer You finally made it through the forest Press the button

Wrong answer You’re totally lost again Press the button

Question A 2 d The probability that a football team: wins is 0.6 loses is 0.3 draws is 0.1 The team plays two matches. What is the probability that the football team wins the first match and loses the second match? Hint: P(event A and event B) = P(event A) × P(event B) 0.9 0.030.3 0.18

Correct answer You made it through the forest eventually Press the button

Wrong answer You can’t find your way through the forest Press the button

The castle is built high on a rock protected by a massive wall. Your next challenge is to climb the castle wall. To try to find a way over the wall press the button.

Question B 1 a A bag contains coloured beads. The probability of picking a red bead is A bead is picked at random. What is the probability that the bead is not red? 3 8 5 8 3 8 9 64

Correct answer You’re halfway up Press the button

Wrong answer You can’t get over the wall here – try again Press the button

Question B 1 b A four-sided spinner is numbered 1 to 4. The probability that the spinner lands on an odd number is What is the probability that the spinner lands on an even number? 7 12 5 12 7 12 49 144

Correct answer You’re halfway up Press the button

Wrong answer You still can’t find a way over the wall Press the button

Question B 1 c A traffic light can be red, amber, or green. The probability of the traffic light being green is 0.35 What is the probability that the traffic light is either red or amber? 1.35 0.650.75

Correct answer You found a foothold at last Press the button

Wrong answer Still no way over the wall Press the button

Question B 1 d A football team can win, lose, or draw a match. The probability that the football team wins is 0.6 What is the probability that the football team loses or draws? Hint: P(event not happening) = 1 - P(event happening) P(lose or draw) = P(does not win) = 1 - P(wins) 0.6 0.5 0.4

Correct answer You found a foothold eventually Press the button

Wrong answer You can’t find a way over the wall Press the button

Question B 2 a A bag contains red, blue, and green beads. The probability of picking a red bead is The probability of picking a blue bead is A bead is picked at random. What is the probability that the bead is green? 3 8 1 6 10 14 5 7 13 24 11 24

Correct answer You climbed over the wall Press the button

Wrong answer You slipped again Press the button

Question B 2 b A four-sided spinner is numbered 1 to 4. The probability of landing on 1, 2, or 3 is given in the table below. What is the probability that the spinner lands on 4? NumberProbability 1 2 3 4 1 6 1 3 5 12 1 12 11 12 1 6 1 24

Correct answer You got over the wall Press the button

Wrong answer You can’t get back up now Press the button

Question B 2 c A traffic light can be red, amber, or green. The probability of the traffic light being: red is 0.5 amber is 0.15 What is the probability that the traffic light is green? 0.65 0.200.800.35

Correct answer You climbed over the wall at last Press the button

Wrong answer You can’t find the foothold again Press the button

Question B 2 d A football team can win, lose, or draw a match The probability that the football team: wins is 0.6 draws is 0.1 What is the probability that the football team loses a match? Hint: P(loses) = 1 - P(wins or draws) 0.7 0.31.31.7

Correct answer You got over the wall at last Press the button

Wrong answer You can’t find a way over the wall Press the button

Inside the castle grounds is a fierce dragon guarding the cell where the princess is being kept. To rescue the princess, you must get past the dragon. To try to get past the dragon press the button.

Question C 1 a Bag A contains 4 red beads and 6 blue beads. Bag B contains 1 red bead and 5 blue beads. A bead is picked at random from each bag. By drawing a probability tree or otherwise, find the probability that both beads are the same colour. 17 30 13 30 1 30 26 60

Correct answer You’re almost past the dragon Press the button

Wrong answer You didn’t manage to get past the dragon this time Press the button

Question C 1 b A spinner has 2 yellow sections and 3 red sections. The spinner is spun twice. By drawing a probability tree or otherwise, find the probability that the spinner lands on different colours both times. 10 25 12 25 2 5 6 25

Correct answer You almost past the dragon Press the button

Wrong answer You still didn’t get past the dragon Press the button

Question C 1 c The probability that a person passes their driving test is 0.6 Two people have a driving test. By drawing a probability tree or otherwise, find the probability that one passes and one fails. 0.48 0.24 0.360.64 fail pass fail pass fail pass

Correct answer You almost past the dragon Press the button

Wrong answer You need to try harder to get past the dragon Press the button

Question C 1 d In April, the probability that it rains is 0.3 By drawing a probability tree or otherwise, find the probability that two days have different weather. 0.21 0.580.420.042 rains does not rain rains does not rain rains does not rain 0.3

Correct answer You’re almost past the dragon Press the button

Wrong answer You can’t find a way past the dragon Press the button

Question C 2 a A bag contains 3 red, 2 yellow, and 5 blue beads. Emily picks a bead at random and replaces it. She does this two more times. What is the probability that exactly two beads are the same colour? 11 50 33 50 19 50 57 50

Correct answer You got past the dragon Press the button

Wrong answer Still a bit further to go Press the button

Question C 2 b A spinner has 2 yellow sections and 3 red sections. The spinner is spun three times. What is the probability that the spinner lands on the same colour exactly two times? 18 25 6 25 39 25 13 25

Correct answer You got past the dragon Press the button

Wrong answer You’re still not there yet Press the button

Question C 2 c The probability of a traffic light being: red is amber is green is Mary has to pass through three lights. What is the probability that exactly two are green? 2 27 1 9 4 9 2 9 1 2 1 6 1 3

Correct answer You managed to get past the dragon this time Press the button

Wrong answer You’re struggling to find a way past the dragon Press the button

Question C 2 d The probability that a football team wins is The team plays three matches. What is the probability that the football team wins exactly two matches? Hint: P(win, win, lose) + P(win, lose, win) + P(lose, win, win) 3 2 9 16 27 64 9 64 3 4

Correct answer You eventually got past the dragon Press the button

Wrong answer There is no way past the dragon Press the button

The princess is locked inside a cell with a strong door. You must break open the locks of the cell door. To try and break the locks press the button.

Question D 1 a A bag contains 4 red, 1 yellow, and 5 blue beads. Molly picks a bead at random and replaces it. She does this two more times. What is the probability that at least two beads are red? 12 125 36 125 4 25 44 125

Correct answer You have broken off one lock Press the button

Wrong answer You can’t get through the door Press the button

Question D 1 b A spinner has 2 blue and 6 yellow sections. The spinner is spun three times. What is the probability that the spinner lands on blue on at least two of the spins? 5 32 3 64 9 64 3 16

Correct answer You have broken off one lock Press the button

Wrong answer You still can’t get through the door Press the button

Question D 1 c The probability of a traffic light being red is Harry has to pass through three lights. What is the probability that at least two are red? 2 5 36 125 44 125 12 125 4 25

Correct answer You have managed to break off one lock Press the button

Wrong answer There seems no way through the door Press the button

Question D 1 d The probability that a football team wins is The team plays three matches. What is the probability that the football team wins at least two matches? Hint: P(win exactly two) + P(win all three) 9 64 27 64 9 16 27 32 3 4

Correct answer You have broken one lock eventually Press the button

Wrong answer The door is too strong! Press the button

Question D 2 a A bag contains 2 red, 1 yellow, and 3 blue beads. Danny picks a bead at random and replaces it. He does this two more times. What is the probability that at least one bead is red? 19 27 8 27 4 27 1 3

Correct answer You have broken through the door Press the button

Wrong answer The second lock is too strong Press the button

Question D 2 b A spinner has 2 blue, 1 red, and 5 yellow sections. The spinner is spun three times. What is the probability that the spinner lands on blue on at least one of the spins? 27 64 3 4 37 64 9 16

Correct answer You have broken through the door Press the button

Wrong answer You can’t break the second lock Press the button

Question D 2 c The probability of a traffic light being red is Kieran has to pass through three lights. What is the probability that at least one is red? 27 125 98 125 4 25 18 125 2 5

Correct answer You managed to get through the door Press the button

Wrong answer You can’t find a way to break the second lock Press the button

Question D 2 d The probability that a football team wins is The team plays two matches. What is the probability that the football team wins at least one match? Hint: P(at least one) = 1 - P(none) P(win at least one) = 1 - P(win none) = 1 - P(lose both) 1 16 15 16 3 4 9 16 3 4

Correct answer You broke through the door at last Press the button

Wrong answer The second lock will not break Press the button

The evil lord stands between you and the princess. You must fight the evil lord and defeat him. To start the fight press the button.

Question E 1 a A bag contains 3 red, 1 yellow, and 4 blue beads. A bead is picked at random and not replaced. Another bead is then picked at random. What is the probability that both beads are the same colour? 25 64 25 28 9 28 26 64

Correct answer You hit the evil lord Press the button

Wrong answer You missed the evil lord Press the button

Question E 1 b A box of chocolates contains 6 milk chocolates and 4 white chocolates. A chocolate is taken from the box and not replaced. Another chocolate is then taken from the box. What is the probability that both chocolates are the same? 7 15 26 45 21 50 13 25

Correct answer You hit the evil lord Press the button

Wrong answer You missed the evil lord again Press the button

Question E 1 c In a bowl of fruit there are 5 apples, 2 bananas, and 3 pears. Roy takes a piece of fruit and does not replace it. He then takes another piece of fruit. What is the probability that Roy has 2 apples? 1 4 2 9 2 10 5 18

Correct answer You hit the evil lord at last Press the button

Wrong answer The evil lord is too good Press the button

Question E 1 d A packet contains 6 black pens and 4 blue pens. Joanne takes a pen and does not replace it. Tom then takes a pen. What is the probability that they both have black pens? Hint: If an item is not replaced, the probability of the second event is different (conditional probability) 3 10 9 25 1 3 2 5

Correct answer You hit the evil lord eventually Press the button

Wrong answer The evil lord has defeated you Press the button

Question E 2 a A bag contains 3 red, 3 yellow, and 2 blue beads. Two beads are picked at random from the bag. What is the probability that the two beads are different colours? 11 32 3 4 21 32 1 4

Correct answer You beat the evil lord Press the button

Wrong answer The evil lord got up again Press the button

Question E 2 b A box of chocolates contains 5 milk chocolates and 4 white chocolates. Two chocolates are taken from the box. What is the probability that both chocolates are the same? 37 81 37 72 32 81 4 9

Correct answer You beat the evil lord this time Press the button

Wrong answer The evil lord is too strong Press the button

Question E 2 c In a group of children, 7 are right-handed and 3 are left-handed. Two children are picked at random. What is the probability that they are both left-handed? 9 100 7 15 1 15 1 10

Correct answer After a hard battle, you eventually beat the evil lord Press the button

Wrong answer You can’t seem to beat the evil lord Press the button

Question E 2 d A bag contains five £1 and four £2 coins. John takes two coins at random. What is the probability that John has £4? Hint: If two items are taken together it is conditional probability 4 27 16 81 4 9 1 6

Correct answer You managed at last to beat the evil lord Press the button

Wrong answer The evil lord has defeated you Press the button

Congratulations You have rescued the princess Play again?

You need help withA1 - Addition rule, P(event A or event B) Topics not covered yetA2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) C, D - Combined events E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) You need help withA2 - Multiplication rule, P(event A and event B) Topics not covered yetB - Complimentary event, P(event not happening) C, D - Combined events E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) You need help withB1 - Complimentary event, P(event not happening) Topics not covered yetC, D - Combined events E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B1 - Complimentary event, P(event not happening) You need help withB2 - More difficult complimentary events Topics not covered yetC, D - Combined events E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) You need help withC1 - Combined events Topics not covered yetC2, D - More difficult combined events E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) C1 - Combined events You need help withC2 - “exactly” questions Topics not covered yetD - “at least” questions E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) C - Combined events You need help withD1 - “at least” questions Topics not covered yetD2 - “at least one” questions E - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) C1 - Combined events C2, D1 - “exactly” and “at least” questions You need help withD2 - “at least one” questions Topic not covered yetE - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) C1 - Combined events C2, D - “exactly” and “at least” questions You need help withE1 - Conditional probability Try again

You can doA1 - Addition rule, P(event A or event B) A2 - Multiplication rule, P(event A and event B) B - Complimentary event, P(event not happening) C1 - Combined events C2, D - “exactly” and “at least” questions E1 - Conditional probability (item not replaced) You need help withE2 - Conditional probability (two items taken) Try again?

Your mission is to rescue the beautiful princess from the evil lord. To rescue her you must complete 5 challenges. To complete a challenge you must answer.

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Your mission is to rescue the beautiful princess from the evil lord. To rescue her you must complete 5 challenges. To complete a challenge you must answer.

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Presentation on theme: "Your mission is to rescue the beautiful princess from the evil lord. To rescue her you must complete 5 challenges. To complete a challenge you must answer."— Presentation transcript:

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About project

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