The (hypothetical) game of Blorple is played with a set of 12 specialty dice. Th

Question

The (hypothetical) game of Blorple is played with a set of 12 specialty dice. The dice are fair, six-sided dice, but instead of numbered faces they have colored faces. Each die has a green side, a blue side, a red side, a purple side, and two white sides. Let ????,????,????,????,???? be the number of green, blue, red, purple, and white sides which come up when all 12 dice are rolled.

a) Compute ????(????=2,????=3,????=2,????=1,????=4).

b) Compute ????(????=3,????=2,????=1,????=3,????=4).

c) Compute ????[????], the expected number of white dice rolled.

d) Compute ????(????+????+????=8).

e) Compute ????(????=4|????=0).

Explanation / Answer

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