You have an opportunity to answer six trivia questions about your favorite sports team, and you will win a pair of tickets to their next game if you can correctly answer at least three of the questions. Write a simulation program to estimate the chance you win the tickets under each of the following assumptions.

a. You have a 50–50 chance of getting any question right, independent of all others.

b. Being a true fan, you have a 75% chance of getting any question right, independent of all others.
c. The first three questions are fairly easy, so you have a .75 chance of getting each of those right. However, the last three questions are much harder, and you only have a .3 probability of correctly answer each of those.