Four fair dice are rolled. Given that at least two fours showed up, find the probability that at least two threes showed up.

If X and Y are two independent random variables with uniform distribution over interval (0,1) find the probability that X<Y if X+Y<1.

Suppose you get X fives in 4500 rolls of a fair die. Find approximately the probability that X is at least 700 but no more than 800.

Predict how many times do you have to roll a fair die until a two or a three shows up.

You flip a fair coin 7 times. Find the probability that you will get two tails in a row.

Please don't ask questions from your probability final, instead go to the tutoring center for help in problems that are similar. Because of your actions, the professor can easily cancel the take home final and make everyone take it in class.