Question 1

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that:
-the defective item is not included?

Accepted Answer

The answer of A shipment of 12 television sets contains...

Question 2

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that:
-the defective item is included?

Accepted Answer

The answer of A shipment of 12 television sets contains...

Question 3

A balanced die is rolled. Find the probability of getting:
-a value of at least two.

Accepted Answer

The answer of A balanced die is rolled. Find the...

Question 4

A balanced die is rolled. Find the probability of getting:
-an odd number.

Accepted Answer

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Question 5

Two cards are drawn from a well-shuffled deck of 52 playing cards.}
-What is the probability of getting two jacks?

Accepted Answer

The answer of Two cards are drawn from a well-shuffled...

Question 6

Two cards are drawn from a well-shuffled deck of 52 playing cards.}
-What is the probability of getting two clubs?

Accepted Answer

The answer of Two cards are drawn from a well-shuffled...

Question 7

Two cards are drawn from a well-shuffled deck of 52 playing cards.}
-What is the probability of getting an ace and a king?

Accepted Answer

The answer of Two cards are drawn from a well-shuffled...

Question 8

A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play, in how many ways can she select the albums if she believes that:
-the order of the records matter?

Accepted Answer

The answer of A student is planning the music she...

Question 9

A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play, in how many ways can she select the albums if she believes that:
-the order of the records does not matter?

Accepted Answer

The answer of A student is planning the music she...

Question 10

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that:
-exactly two of the returns with errors are audited?

Accepted Answer

The answer of If 3 of 16 tax returns contain...

Question 11

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that:
-all three of the returns with errors are audited?

Accepted Answer

The answer of If 3 of 16 tax returns contain...

Question 12

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that:
-none of the returns with errors is audited?

Accepted Answer

The answer of If 3 of 16 tax returns contain...

Question 13

Two vice presidents are to be selected from the division managers in a certain company. If there are 9 division managers, in how many ways can the vice presidents be selected?

Accepted Answer

The answer of Two vice presidents are to be selected...

Question 14

After two vice presidents are selected from 9 division managers, 3 other promotions will be granted. From the remaining division managers, how many ways can the new promotions be granted?

Accepted Answer

The answer of After two vice presidents are selected from...

Question 15

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if:
-each family is to sit together?

Accepted Answer

The answer of Two families, each consisting of a husband,...

Question 16

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if:
-all the males are to sit together and all of the females are to sit together?

Accepted Answer

The answer of Two families, each consisting of a husband,...

Question 17

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if:
-all of the children are to sit together and all of the adults are to sit together?

Accepted Answer

The answer of Two families, each consisting of a husband,...

Question 18

How many permutations are there of the letters in the word "distinction"?

Accepted Answer

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Question 19

In how many ways can 12 persons be arranged in a circle?

Accepted Answer

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Question 20

A cable TV company has 10 channel offerings. One option is that a subscriber may select any four channels. In how many ways can a subscriber make his/her selection?

Accepted Answer

The answer of A cable TV company has 10 channel...

Quiz 5: Possibilities and Probabilities

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that: -the defective item is not included?

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that: -the defective item is included?

A balanced die is rolled. Find the probability of getting: -a value of at least two.

A balanced die is rolled. Find the probability of getting: -an odd number.

Two cards are drawn from a well-shuffled deck of 52 playing cards.} -What is the probability of getting two jacks?

Two cards are drawn from a well-shuffled deck of 52 playing cards.} -What is the probability of getting two clubs?

Two cards are drawn from a well-shuffled deck of 52 playing cards.} -What is the probability of getting an ace and a king?

A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play, in how many ways can she select the albums if she believes that: -the order of the records matter?

A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play, in how many ways can she select the albums if she believes that: -the order of the records does not matter?

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -exactly two of the returns with errors are audited?

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -all three of the returns with errors are audited?

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -none of the returns with errors is audited?

Two vice presidents are to be selected from the division managers in a certain company. If there are 9 division managers, in how many ways can the vice presidents be selected?

After two vice presidents are selected from 9 division managers, 3 other promotions will be granted. From the remaining division managers, how many ways can the new promotions be granted?

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if: -each family is to sit together?

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if: -all the males are to sit together and all of the females are to sit together?

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if: -all of the children are to sit together and all of the adults are to sit together?

How many permutations are there of the letters in the word "distinction"?

In how many ways can 12 persons be arranged in a circle?

A cable TV company has 10 channel offerings. One option is that a subscriber may select any four channels. In how many ways can a subscriber make his/her selection?