A fair coin is tossed 6 times. For what value of k is the conditional probability that Pr(x<=k I x<=K+1) is a max? Assuming k = 1, 2, 3, 4, 5; x = number of heads tossed

X ~ Binomial(n = 6, p = 1/2).

The conditional probability is equal to (why?). Now check each value of k to find the one that gives the maximum value. If you need more help, please post your work and say where you get stuck.

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