Question
In: Statistics and Probability
A jar contains 100 coins. One of the coins is a trick coin with heads on...
A jar contains 100 coins. One of the coins is a trick coin
with heads on both sides. The other 99 coins are ordinary coins
with heads probability .5. A coin is selected at random. (a) What
is the probability the coin selected is the trick coin? (b) The
coin selected is tossed 7 times, and it happens to land heads each
of those times. Now what is the probability it is the trick
coin?
Solutions
Expert Solution
a) P(coin selected is trick coin) = 1/100 = 0.01
b) P(landing heads for all 7 times) = P(trick coin is selected and landed head all 7 times) + P(normal coin is selected and landed head all 7 times)
= 1/100 * 1 + 99/100 * (1/2)7
= 0.0177
P(trick coin is selected | landed heads for all 7 times) = P(trick coin is selected and landed head all 7 times) / P(landing heads for all 7 times)
= (1/100) / 0.0177
= 0.565
orchestra answered 2 years agoRelated Solutions
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