Problem

The probability of being dealt a royal straight flush (ace, king, queen, jack, and ten o...

The probability of being dealt a royal straight flush (ace, king, queen, jack, and ten of the same suit) in poker is about 1.3 × 108. Suppose that an avid poker player sees 100 hands a week, 52 weeks a year, for 20 years.

a. What is the probability that she is never dealt a royal straight flush dealt?

b. What is the probability that she is dealt exactly two royal straight flushes?

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