Bayesian Statistics

Consider having a coin with probability p for heads. The
probability p is unknown but possible values are: {0.05, 0.15,
0.25, 0.35, 0.45, 0.55, 0.65, 0.75, 0.85, 0.95} with probabilities:
{0.07, 0.13, 0.26, 0.26, 0.13, 0.07, 0.02, 0.02, 0.02, 0.02} (a) We
observe 11 heads and 16 tails in 27 tosses. What is the posterior
probability distribution for p? Write down the formula for P(p =
x|k = 11,n = 27) and explain why there is no need to use the
binomial coefficients n choose k