SOLUTION: A gambler has two coins in his​ pocket, one fair coin and one​ two-headed coin. He selects a coin at random and flips it twice. If he gets two​ heads, what is the probability

Algebra ->  Probability-and-statistics -> SOLUTION: A gambler has two coins in his​ pocket, one fair coin and one​ two-headed coin. He selects a coin at random and flips it twice. If he gets two​ heads, what is the probability      Log On


   

Question 1153412: A gambler has two coins in his​ pocket, one fair coin and one​ two-headed coin. He selects a coin at random and flips it twice. If he gets two​ heads, what is the probability that he selected the fair​ coin?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of two heads with fair coin = 0.25
Probability of two heads with two-headed coin = 1

Probability that "two heads" result is with fair coin:

0.25%2F%280.25+%2B+1%29 = 0.25%2F1.25 = 0.2