There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

There are 3 coins in a box. One is a two-headed coin; another is a fai

1.	There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?
A.	\(\frac{2}{9}\)
B.	\(\frac{1}{3}\)
C.	\(\frac{4}{9}\)
D.	\(\frac{5}{9}\)
Answer» D. \(\frac{5}{9}\)