For the skeptic, how does the posterior estimate change if we observed 9 hits in 25 sessions

Question:

For the skeptic, how does the posterior estimate change if we observed 9 hits in 25 sessions instead of 18 hits in 50 sessions? Find the posterior estimate if we observed 36 hits in 100 sessions. What pattern do you see emerging in the posterior estimates as the numbers of hits and sessions increase, even though the observed hit rate remains constant at 0.36?