Tim has 3 dice, one with 4 sides, 5 sides, and 6 sides. Each dice is fair
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Tim has 3 dice, one with 4 sides, 5 sides, and 6 sides. Each dice is fair and has faces (1, 2, ... n) where n is the number of sides. Tim proceeds as follows: he rolls each die one at a time (starting with the four sided, then five, then six). However, if Tim ever rolls more than a three he stops rolling the dice. Let X be the sum of all the dice Tim rolled.
1. Compute E[X].
2. Compute P(A). Where A represents the event that Tim rolled a five with one of the die.
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