Suppose you toss a coin 100 times and find that head occurs 72 times. You use maximum likelihood estimate to obtain P(H) to be p. However, you also know that the typical P(H) is close to 0.5 and you use this prior knowledge to do maximum a posteriori estimate. The estimate of P(H) obtained using MAP
estimate is q. What is the relationship between p and q?

a. p>q
b. p<q
c. p=q
d. Not enough information