Probability with Combinations and Permutations

Question 1

The track team gives awards for first, second, and third place runners. There are 10 students from school A and 12 students from school B competing.Which expression represents the probability that all three awards will go to a student from school B?

Revolt · Accepted Answer

A: StartFraction 12 P 3 Over 22 P 3 EndFraction

Question 2

A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.What is the probability that he chooses trees of two different types? Express your answer as a percent.

Revolt · Accepted Answer

6: 60%

Question 3

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate.What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Revolt · Accepted Answer

A: 30%

Question 4

Two unique letters are chosen at random from the alphabet.What is the approximate probability that the first letter chosen is A?

Revolt · Accepted Answer

0: 0.0385

Question 5

A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random.Which expression represents the probability of drawing a king and a queen?

Revolt · Accepted Answer

D:

Question 6

A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are chosen from the deck at random.What is the approximate probability of choosing one club and one heart?

Revolt · Accepted Answer

0: 0.1275

Question 7

A student must choose to participate in two different events during field day. There are four track events, two academic events, and six team sports events.What is the approximate probability that the student will choose to participate in two team sports?

Revolt · Accepted Answer

B: 0.227

Question 8

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

Revolt · Accepted Answer

A:

Question 9

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.Which expression represents the probability that a student chooses an art elective and a history elective?

Revolt · Accepted Answer

C: StartFraction (3 C 1) (4 C 1) Over 12 C 2 EndFraction

Question 10

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team.Which expression represents the probability that both students chosen are sophomores?

Revolt · Accepted Answer

A:

Probability with Combinations and Permutations Answers

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