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Published byJewel Thompson Modified over 8 years ago

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Insert Lesson Title Here 1) Joann flips a coin and gets a head. Then she rolls a 6 on a number cube. 2) You pull a black marble out of a bag. You don’t replace that marble but try to pull a second black marble out of the bag. 3) You flip two separate coins and get heads on both. Decide whether the set of events are dependent or independent. Why? “I know the events are independent because _________________.” “I know the events are dependent because ___________________.” Course 2 Station #1

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Insert Lesson Title Here 1) Annabelle chooses a blue marble from a set of three, each of different colors, and then Louise chooses a second marble from the remaining two marbles. 2) You pull a green Jolly Rancher from a big bag. You eat that Jolly Rancher. Then, you pull out another Jolly Rancher. 3) You want to spin blue on a spinner and roll a 3 on a number cube. Decide whether the set of events are dependent or independent. Why? “I know the events are independent because _________________.” “I know the events are dependent because ___________________.” Course 2 Station #2

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EXAMPLE Insert Lesson Title Here Find the probability of choosing a red marble at random from a bag containing 5 red and 5 white marbles and then flipping a coin and getting heads. The outcome of choosing the marble does not affect the outcome of flipping the coin, so the events are independent. P(red and heads) = P(red) · P(heads) 1 2 = · 1212 The probability of choosing a red marble and a coin landing on heads is 1414 · Course 2 Station #3

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YOUR PROBLEM… Insert Lesson Title Here Find the probability of choosing a white marble at random from a bag containing 5 red and 5 white marbles and then flipping a coin and getting tails. Use above Example to help you… Are the events independent? If so, we find the fractional probability of each event. Then, we multiply the probabilities together. The probability of choosing a white marble and a coin landing on tails is __________. Course 2 Station #3

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EXAMPLE Insert Lesson Title Here Alice was dealt a hand of cards consisting of 4 black and 3 red cards. Without seeing the cards, what is the probability that the first card will be black and the second card will be red? The first choice changes the total number of cards left, and may change the number of red cards left, so the events are dependent. Course 2 Station #4 P(black) = 4747 There are 4 black cards out of 7 cards. P(red) = 3636 There are 3 red cards left out of 6 cards. P(black and then red card) = P(A) · P(B after A) = 4747 · 3636 = 12 42 Multiply. or 2727 The probability of Alice selecting a black card and then choosing a red card is. 2727

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YOUR PROBLEM… Insert Lesson Title Here Sarah picks 2 hats at random from 5 bill caps and 3 beanies. What is the probability that both are bill caps? Use above Example to help you… Are the events dependent? If so, we find the fractional probability of the first event. Then, we change the fraction to show that we DID NOT replace the first hat. Then, we multiply the probabilities together. The probability of choosing 2 bill caps is __________. Course 2 Station #4

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