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Independent Probability

Independent Probability.

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Independent Probability

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  1. Independent Probability

  2. Raji and Kara must each choose a topic from a list of topics to research for their class. If Raji’s choice has no effect on Kara’s choice and vice versa, the events are independent. For independent events, the occurrence of one event has no effect on the probability that a second event will occur. If once Raji chooses a topic, Kara must choose from the remaining topics, then the events are dependent. For dependent events, the occurrence of one event does have an effect on the probability that a second event will occur.

  3. Insert Lesson Title Here Decide whether the set of events are dependent or independent. Joann flips a coin and gets a head. Then she rolls a 6 on a number cube. 1 independent. 2 Yuki chooses a book from the shelf to read, and then Janette chooses a book from the books that remain. dependent. 3 Kathy draws a 4 from a set of cards numbered 1–10 and rolls a 2 on a number cube. independent.

  4. To find the probability that two independent events will happen, multiply the probabilities of the two events. Probability of Two Independent Events P(A and B) P(B) P(A) • = Probability of first event Probability of both events Probability of second event

  5. 1 1 1 1 9 1 1 3 3 2 3 2 4 3 3 24 8 6 24 6 8 6 4 24 4 6 24 4 6 4 An experiment consists of spinning this spinner and rolling a number cube. Find the probability. 4. P(red , 4) = = X P(yellow, even number) 5. = = X 6. P(not green, odd number) = = X 7. P(Red or Green, 3 or 2) = = = X

  6. Thomas Role a number cube 3 times. Find the probability of the following. 1/6 X 1/6 X 1/6 8. P(3) = 1/216 P(even) 9. 1/2 X 1/2 X 1/2 = 1/8 Sharon has 4 coins. If Sharon flips all the coins at once, how many outcomes are in the sample space 10. 1/2 X 1/2 X 1/2 X 1/2 = 1/16

  7. Independent Probability Date _____________

  8. To find the probability that two independent events will happen, multiply the probabilities of the two events. Probability of Two Independent Events P(A and B) P(B) P(A) • = Probability of first event Probability of both events Probability of second event

  9. An experiment consists of spinning this spinner and rolling a number cube. Find the probability. 1. P(red , 4) P(yellow, even number) 2. 3. P(not green, odd number) 4. P(Red or Green, 3 or 2)

  10. Thomas Role a number cube 3 times. Find the probability of the following. 8. P(3) P(even) 9. Sharon has 4 coins. If Sharon flips all the coins at once, how many outcomes are in the sample space 10.

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