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4. Suppose a bag contains 7 coins, 2 coins are fair, 2 coins are unfair with P(H) = 0.2, and the other three coins are two-headed coins (heads on both sides). (a) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin two times (independently). Given that the coin lands H on both tosses, what is the probability that Amy tossed a fair coin? Show all your work. (b) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin three times (independently). Given that the coin lands H on all three tosses, what is the probability that Amy tossed a fair coin? Show all your work.

4. Suppose a bag contains 7 coins, 2 coins are fair, 2 coins are unfair with P(H) = 0.2, and the other three coins are two-headed coins (heads on both sides). (a) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin two times (independently). Given that the coin lands H on both tosses, what is the probability that Amy tossed a fair coin? Show all your work. (b) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin three times (independently). Given that the coin lands H on all three tosses, what is the probability that Amy tossed a fair coin? Show all your work.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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4. Suppose a bag contains 7 coins, 2 coins are fair, 2 coins are unfair with P(H) = 0.2, and the other three coins are two-headed coins (heads on both sides). (a) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin two times (independently). Given that the coin lands H on both tosses, what is the probability that Amy tossed a fair coin? Show all your work. (b) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin three times (independently). Given that the coin lands H on all three tosses, what is the probability that Amy tossed a fair coin? Show all your work.
Transcribed Image Text:4. Suppose a bag contains 7 coins, 2 coins are fair, 2 coins are unfair with P(H) = 0.2, and the other three coins are two-headed coins (heads on both sides). (a) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin two times (independently). Given that the coin lands H on both tosses, what is the probability that Amy tossed a fair coin? Show all your work. (b) Suppose Amy randomly selects a coin from the bag, and tosses the selected coin three times (independently). Given that the coin lands H on all three tosses, what is the probability that Amy tossed a fair coin? Show all your work.
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