1. PROBABILITY: MIXED PROBLEMS
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2. PROBABILITY WITH MARBLES
A bag contains 8 yellow marbles and 7 red marbles. What is the probability of pulling out a yellow marble?
8 15
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3. PROBABILITY WITH MARBLES
A bag contains 8 yellow marbles and 7 red marbles. What is the probability of not pulling out a yellow marble?
7 15
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4. PROBABILITY WITH MARBLES
A bag contains these 9 marbles. What is the probability of pulling out a red or green marble?
2 9
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5. PROBABILITY WITH CUBES
A bag contains the 9 cubes. What is the probability of pulling out a blue cube?
1 9
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6. PROBABILITY WITH CANDY
A bag contains 15 yellow candies, 10 red candies and 5 green candies. What is the probability of pulling out a red candy?
10 30
1 3
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7. PROBABILITY WITH OBJECTS
A box has the 9 shapes. What is the probability of not pulling out a heart or a diamond?
7 9
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8. PROBABILITY WITH OBJECTS
What is the probability of picking a pink, yellow or green flower?
3 9
1 3
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9. PROBABILITY WITH NUMBERS
What is the probability of picking a prime number?
4 9
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10. PROBABILITY WITH NUMBERS
What is the probability of picking a composite number?
4 9
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11. PROBABILITY WITH NUMBERS
What is the probability of picking an even number?
4 9
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12. PROBABILITY WITH NUMBERS
What is the probability of picking an odd number?
5 9
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13. PROBABILITY WITH COINS
What is the probability of the coin landing on Heads?
1 2 H
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14. PROBABILITY WITH COINS
What is the probability of the coin landing on Tails?
1 2 T
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15. PROBABILITY WITH KITES
What is the probability of picking a red kite or a blue kite?
4 18
2 9
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16. PROBABILITY WITH PLAYING CARDS
The probability of drawing a queen from a standard deck of cards is:
4 52
1 13
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17. PROBABILITY WITH PLAYING CARDS
The probability of
drawing hearts and the number 2 is:
1 52
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18. PROBABILITY WITH PLAYING CARDS
The probability of drawing a suit is:
4 52
1 13
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19. PROBABILITY WITH PLAYING CARDS
The probability of drawing a red card is:
26 52
1 2
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20. 1 6 120 x = 20 times 20 PROBABILITY WITH DICE 1
Tom rolled a dice 120 times. The table shows the number of times he rolled each number on the dice.
1 6 20
Numbers on dice
Number of Times Rolled 1 35 2 15 3 25 4 12 5 8 6
120 x 1
= 20 times
How many times should each number of the dice have appeared?
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21. PROBABILITY WITH COINS
Sami tossed two coins 20 times. He recorded the outcome of each trial in the table. 5
Outcome
Number of Times tossed
2 heads 6
1 Head, 1 Tail 5
2 Tails 9
1 4 20 x 1
= 5 times
After 20 trials, how many times should he have had 2 heads?
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22. PROBABILITY WITH PEOPLE
About 9 out of every 10 people are right-handed. The table below shows the number of students in Jason’s class who are left-handed and right-handed. 10
JASON’S CLASS
Left-handed 1
Right-handed 24
Total 25
9 10
100 x
= 90% 1
What is the theoretical probability that someone is right-handed? Write your answer as a percent.
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23. PROBABILITY WITH PEOPLE
What is the experimental probability that a student in Jason’s class is right-handed? Write your answer as a percent.
JASON’S CLASS
Left-handed 1
Right-handed 24
Total 25 4
24 25
100 x
= 96% 1
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24. PROBABILITY WITH DICE
There are 36 possible outcomes when two six-sided dice are rolled. You can roll doubles for 6 of these outcomes.
6 36
1 6
What is the theoretical probability of rolling doubles?
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25. PROBABILITY WITH DICE
There are 36 possible outcomes when two six-sided dice are rolled. You can roll doubles for 6 of these outcomes.
8 40
1 5
Jason rolled two dice 40 times and rolled doubles on 8 of these turns. What is the experimental probability of rolling doubles?
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26. BW, BB RW, RB GW, GB DRAWING TREE DIAGRAMS
Here is a tree diagram to show all the ways Sara can choose a dress color and a bag color.
SARA’S COMBINATIONS
Dress color
Bag color
Blue
Red
Green
white
black
Dress color
white (W)
Blue (B)
Bag color
black (B)
BW, BB
RW, RB
GW, GB
white (W)
Red (R)
black (B)
white (W)
There are 6 possible combinations.
Green (G)
black (B)
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27. RB, RC, RS, RV LB, LC, LS, LV There are 8 possible choices.
DRAWING TREE DIAGRAMS
BURGER SIZES
SIZES
BURGERS
Regular
Large
Beef Burger
Chicken Burger
Soya Burger
Veggie Burger
The table shows four burgers available in two sizes. Here is a tree diagram to show all the possible choices.
Burgers
Beef
Burger Sizes
Chicken
Regular
Soya
RB, RC, RS, RV
LB, LC, LS, LV
Veggie
Beef
Chicken
Large
There are 8 possible choices.
Soya
Veggie
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28. There are 12 possible outcomes.
DRAWING TREE DIAGRAMS
A six-sided dice is rolled and a coin is tossed. Here is a tree diagram that lists all the possible outcomes.
H1, H2, H3, H4, H5, H6
T1, T2, T3, T4, T5, T6
There are 12 possible outcomes.
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29. There are 12 possible outcomes.
DRAWING A GRID
A six-sided dice is rolled and a coin is tossed. Here is a grid that lists all the possible outcomes. 1 2 3 4 5 6 H T
Outcomes of dice
Outcomes of coin H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6
There are 12 possible outcomes.
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30. DRAWING A GRID Heads Tails Heads Tails
Here is a grid to list all the possible outcomes if two coins are tossed. H T
Coin 2
Heads
Tails H T
Heads HH HT
Coin 1 H
Tails TH TT T
There are 4 possible outcomes: HH, HT, TH, TT
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31. HH HT TH TT DRAWING TREE DIAGRAMS H T There are 4 possible outcomes
Two coins are tossed. Here is a tree diagram to list all the possible outcomes. H HH H HT T TH H TT T T
There are 4 possible outcomes
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32. PROBABILITY WITH COINS
Two coins are tossed. What is the probability of getting Heads and Tails in that order? H
1 4 H T H T T
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33. PROBABILITY WITH COINS
Two coins are tossed. What is the probability of getting Tails and Tails? H
1 4 H T H T T
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34. DRAWING A GRID: TWO DICE ROLLED
Two dice are rolled. Here is a grid to list all the possible outcomes.
There are 36 possible outcomes
Dice 2 1 2 3 4 5 6
Dice 1 1
1,1
1,2
1,3
1,4
1,5
1,6 2
2,1
2,2
2,3
2,4
2,5
2,6 3
3,1
3,2
3,3
3,4
3,5
3,6 4
4,1
4,2
4,3
4,4
4,5
4,6 5
5,1
5,2
5,3
5,4
5,5
5,6 6
6,1
6,2
6,3
6,4
6,5
6,6
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35. SPINNER 1 SPINNER 2 DRAWING A GRID RR RY RB RG YR YY YB YG BR BY BB BG
Here is a grid to list all the possible outcomes of colors on two spinners.
Red (R)
Yellow (Y)
Blue (B)
Green (G)
SPINNER 1 RR RY RB RG
SPINNER 2 YR YY YB YG BR BY BB BG GR GY GB GG
There are 16 possible outcomes.
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36. DRAWING A TREE DIAGRAM R1, R2, R3, R4, R5, R6 B1, B2, B3, B4, B5, B6
Here is a tree diagram to list all the possible outcomes of colors on the spinner and a dice. R
red
R1, R2, R3, R4, R5, R6
B1, B2, B3, B4, B5, B6
Y1, Y2, Y3, Y4, Y5, Y6
G1, G2, G3, G4, G5, G6
blue
yellow
green
There are 24 possible outcomes.
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37. Outcomes of spinner colors
DRAWING A GRID
Here is a grid to list all the possible outcomes of colors on the spinner and a dice. 1 2 3 4 5 6 R B Y G
Outcomes of dice R1 R2 R3 R4 R5 R6 B1 B2 B3 B4 B6 B6
Outcomes of spinner colors Y1 Y2 Y3 Y4 Y5 Y6 G1 G2 G3 G4 G5 G6
There are 24 possible outcomes.
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