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Q:We flip a fair coin. If it is heads we roll 3 fair dice. If it is tails we roll 5 fair dice. Let X

Q:We flip a fair coin. If it is heads we roll 3 fair dice. If it is tails we roll 5 fair dice. Let X denote the number of sixes among all rolled dice.

(a) Find the probability mass function of X.

(b) Find the expected value ofX.

I'm fairly certain that this problem deals with conditional expectation. The second variable would be Bernoulli (I believe), but i need help on how to model the event.

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