An arcade booth at the county fair has person choose a coin from two possible coins available and then toss it. If the coin selected lands on heads, the person gets a prize. One coin is a fair coin and one coin is biased coin (unfair) with only a 33% chance of getting head. Supposing equally likely probability of picking either coin, determine the probability that the fair coin is the one selected, given that the selected coin lands on heads?
a) 0.8300
b) 0.6024
c) 0.0149
d) 0.4150
e) 0.4310