ONLY PROBLEM 2! Thank you

Problem 1) In the game of Yahtzee sold by Hasbro, a player throws five ordinary six-sided dice and tries to obtain various combinations of poker-like hands. In a throw of five dice compute the following: a) All five dice showing the same number b) Four dice showing one number and the other die showing a different number. Three dice showing one number and the other two dice showing the same different number (in poker parlance, a full house) c) d) Three dice showing one number and the other two dice showing two separate c) f) Two dice showing one number, three other dice showing three separate g) Five different numbers on the five dice. different numbers (three-of-a-kind). Two dice showing one number, two other dice showing the same different number, and the fifth die showing a third number (two pair). different numbers (one pair). h) Show the probabilities above sum to I Problem 2) Write a short program to simulate the throw of five dice, Use the program to simulate a million throws of five dice. Compare and validate the probabilities calculated in the previous