Questions I'm Struggling With Part 3

7.) How many random samples of 2 can be chosen from a population of size 10?

A.) 10 B.) 45 C.) 2 D.) 1814400

8.) A bag contains 5 red balls and 4 yellow balls. If we select two balls at random, what is the probability that the second ball is red in color given that the first ball is also red in color? Assumre sampling without replacement.

A.) 0.31 B.) 0.05 C.) 0.28 D.) 0.40

9.) A single fair die is rolled twice in succession. Find the probability of observing a multiple of 3 given that you ovserve an even number on the first roll.

A.) 0.167 B.) 0.027 C.) 0.33 D.) 0.67