Probability with Combinations and Permutations - Quiz Quiz Answers

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?

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?

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.

A standard deck of 52 playing cards contains four of each numbered card 2 ce bond negative 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?

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. What is the approximate probability that exactly two of the five are blue?

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?

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes. What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?

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.

A three-digit personal identification number is chosen using the digits 1 - 9 The digits cannot be repeated. What is the approximate probability that the first digit will be 6 ?

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?

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?

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

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?

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?

A standard deck of 52 playing cards contains four of each numbered card 2 ce bond negative 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?

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. What is the approximate probability that exactly two of the five are blue?

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

A three-digit personal identification number is chosen using the digits 1 - 9 The digits cannot be repeated. What is the approximate probability that the first digit will be 6 ?

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?

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes. What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?