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Problem Solving (PS) | A bag contains 65 coins. 64 of the coins are fair but 1 coin...

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costcosized wrote:

A bag contains 65 coins. 64 of the coins are fair but 1 coin contains two heads. If a coin, chosen at random from the bag and then tossed, turns up heads 6 times in a row, what is the probability that it is the two-headed coin?

A. 1/64
B. 2/65
C. 1/6
D. 1/2
E.5/8


Probability of heads 6 times in a row = 64/65 * (1/2)^6 + 1/65 = 1/65 + 1/65 = 2/65
Probability of heads 6 times in a row when it is the two-headed coin = 1/65
If a coin, chosen at random from the bag and then tossed, turns up heads
...

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