A Group Consists Of Seven Men And Five Women Three People Are Selected To Attend A Conference Finite Math

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?

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