(a) True or false: P(A|B) + P(A|Bc)=1. Either show it true for any event A and B or exhibit a counter-example.

(b) True or false: P(A|B) + P(Ac|B)=1. Either show it true for any event A and B or exhibit a counter-example.

A bag of 15 Scrabble tiles contains three each of the letters A, C, E, H, and N. If you pick six letters one at a time, what is the chance that you spell C-H-A-N-C-E?

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