# Segment (1)

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Problems:

1. Prove that <math>P(ABC) = P(B)P(C|B)P(A|BC)</math>:

Answer: <math>P(ABC) = P(A|BC)P(BC) = P(A|BC)P(C|B)P(B)</math>

2. What is the probability that the sum of two dice is odd with neither being a 4?

Answer: by enumerating all possibilities, the probability = 12/36 = 1/3