Thank you so much for helping me. Figure out the steps and the answers. You don't need to explain the steps:) Direct steps would be helpful for me. Thank you!

Question 4 [18 points] The probability of a royal flush in a poker hand is p = aura. Let X be the number of royal flush in n plays. (a) Calculate the probability of no royal flush in n = 1000000 = 10 hands. You can leave the answer in terms of n and p. [6 points] (b) How large must n be to make sure the probability of no royal flush in n plays to be smaller than 1/e? That is, how large n must be to make sure P(X = 0)