See question attached - will give fast feedback! Thank you

Problem 1. In a box there are 10 red balls and 20 blue balls. Draw 10 balls randomly without replacement one after another (every time we draw a ball, we pick a ball uniformly at random out of all the remaining balls in the box), and every time we draw a red ball we also toss a fair coin. Let N be the number of heads obtained. (a) Compute P(N = 10). (b) Compute EN. (c) Compute VarN