A jar contains 50 balls numbered 1 to 50. a. How many different sets of 5 balls can be randomly taken from the jar?

The answer is

b. How many different sets of 5 balls containing the ball numbered 42 can be taken from
the jar?

The answer is

Give your probabilities in simplified fraction form. Hint: look at the factorial forms of
part a and part b.

c. What is the probability that a 5–ball set will contain the ball numbered 42?

The answer is

d. What is the probability that a 5–ball set will not contain the ball numbered 42?

The answer is