At a carnival you win a prize if you get heads, you should first choose a coin. There is a fair and biased coin, while choosing each coin is equally likely, the biased coin has 74% of landing tails. Determine the probability of choosing the biased coin if you won a prize.
a. 0.5000
b. 0.2600
c. 0.5968
d. 0.3421
e. 0.5243