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11 September, 18:56

One coin in a collection of 65 coins has two heads; the rest of the coins are fair. If a coin, chosen at random from the lot and then tossed, turns up heads six times in a row, what is the probability that it is the two-headed coin?

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  1. 11 September, 19:26
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    There is only 1 two-headed coin in the collection of 65 coins.

    The probability of selecting the two headed coin is 1/65.

    The outcome achieved when any of the other coins is tossed a number of times is based purely on chance.

    Although if the 2-headed coin is selected, the only possible outcome is having a head, but It also possible to have 6 heads in 6 tosses with a coin that is not 2-headed.

    What we're concerned with, is the probability that the 2-headed coin was selected from the lot of 65 coins, which is 1/65.
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