1)A group consists of seven men and five women. Three people are selected to attend a conference.

a. In how many ways can three people be selected from this group of twelve?

b. In how many ways can three women be selected from the five women?

c. Find the probability that the selected group will consist of all women

The probability is ….

2) A box contains 17 transistors, 33 of which are defective. If 33 are selected at random, find the probability that

a. All are defective. b. None are defective.

a. The probability is nothing.

(Type a fraction. Simplify your answer.)

b. The probability is

nothing.

(Type a fraction. Simplify your answer.)

3 You randomly select one card from a 52-card deck. Find the probability of selecting the king of diamonds or the nine of clubs.

The probability is …..

(Type an integer or a fraction. Simplify your answer.)4) A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than

3 the second time

Find the probability of rolling an even number the first time and a number greater than 3 the second time.

5) The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/16.

Use this information to answer the questions below.

(A) What is the probability that the state will be hit by a major tornado two years in a row?

(Simplify your answer. Round to five decimal places as needed.)

(B) What is the probability that the state will be hit by a major tornado in three consecutive years?

(Simplify your answer. Round to five decimal places as needed.)

(C) What is the probability that the state will not be hit by a major tornado in the next ten years?

(Round to three decimal places as needed.)

(D) What is the probability that the state will be hit by a major tornado at least once in the next ten years?

(Round to three decimal places as needed.)6) License plates in a particular state display 4 letters followed by 2 numbers. How many different license plates can be manufactured for this state?