Probability of a probability?

Discrete Mathematics Level 4

You have an unfair coin with probability \(p\) of landing on heads. This probability is a random variable uniform in the interval \([0,1]\).

Now, you flip it and get heads. What is the probability that \(p>\frac{1}{2}\)?

0 1/3 1/2 5/8 2/3 3/4 1 It can't be determined

Excel in math and science