Question

The probability of getting a royal flush when you deal out a five card hand is 1.54 × 10^-6. Suppose you deal out 8 × 10^6 hands, what is the probability that you will get 0 royal flushes? Make a list of the probabilities that you will get n royal flushes, for n=1 to n=10.

Answer of Part1)P (Getting a royal flush when you deal out a five card hand) = 1.54 × 10-6
Therefore, P (Getting zero royal flushes when you deal out a 8 × 106 hands)
= 0.99 × 8 × 106
= 0.000004462

Please help me with answer of Part2)

Your answer for 0 royal flushes is correct. For other numbers, use the binomial distribution formula. You can find it described at
(Broken Link Removed) and in most probability textbooks

Thanks drwls