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.Com
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)   (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:

= = 0.2

RELATED QUESTIONS

Tom has three coins. Two are fair and one is an unfair coin weighted so that heads is... (answered by Edwin McCravy)
Tom has three coins. Two are fair and one is an unfair coin weighted so that heads is... (answered by Boreal)
A box contains 3 coins: one coin with two sides-head & tail, one coin two headed and one... (answered by ewatrrr)
A box contains three coins, two of them fair and one two-headed. A coin is selected at... (answered by Edwin McCravy)
Sue has two coins. One is fair, with head on one side and tail on the other. The... (answered by Fombitz)
Jimmy has fifteen coins in his pocket - eight 20c coins, four 50c coins and three $1... (answered by robertb)
Ray has some change in his pocket: four pennies, two nickels, four dimes, two quarters,... (answered by Edwin McCravy)
Shawn has 5 nickels and 7 dimes in his pocket. if he took out one coin and then a second... (answered by Alan3354)
a coin purse contains four 1-peso coins, five 5- peso coin and six 10-peso coin. another... (answered by ikleyn)