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A random numberNof dice is thrown. Let Ai be the event thatN= i, and assume that P(Ai) = 1/(2)^i, i >= 1. The sum of the scores isS. Find the probability that:

(a)S= 4, givenNis even;

(b) the largest number shown by any die isr, whereSis unknown.

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# Homework Help: Conditional probability - Random number of dice

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