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7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of: a) getting 5 spades? b) getting 5 black cards? c) getting 5 face cards? 4 12 4 4 d) getting just face cards or aces? 32t 13 52

7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of: a) getting 5 spades? b) getting 5 black cards? c) getting 5 face cards? 4 12 4 4 d) getting just face cards or aces? 32t 13 52

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Answer question 7d. Write out each step and explain what you are doing.
IV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, and anything at all fifth and sixth. 6. Given a standard deck of cards. What is the probability the top card is: a) a black ace? b) not a black ace? c) a diamond face card? d) a jack or a king? e) neither a queen nor an ace? 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of: a) getting 5 spades? b) getting 5 black cards? 4 c) getting 5 face cards? 12 4 d) getting just face cards or aces? 13 e) getting 4 aces? S2+ f) getting 2 aces and 3 queens? 8. The board of regents of a university is made up of 12 men and 16 women. If a committee is chosen at random, what is the probability: a) that it will contain 3 men and 3 women? b) that it will contain 4 men and 2 women? 9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committ of 3 is chosen by randomly pulling names from a hat. What committee has: is the probability that the a) 2 Democrats and 1 Republican? 14 b) 3 Independents? X25 x c) no Independents? 524 d) 1 Democrat, 1 Republican, and 1 Independent? e) at least one Independent? 10. Each of five cards is labeled with a letter A, B, C, D, or E. Two cards are chosen at ra without replacement. Find the probability that: a) both letters chosen are consonants. b) both letters chosen are vowels. *
Transcribed Image Text:IV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, and anything at all fifth and sixth. 6. Given a standard deck of cards. What is the probability the top card is: a) a black ace? b) not a black ace? c) a diamond face card? d) a jack or a king? e) neither a queen nor an ace? 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of: a) getting 5 spades? b) getting 5 black cards? 4 c) getting 5 face cards? 12 4 d) getting just face cards or aces? 13 e) getting 4 aces? S2+ f) getting 2 aces and 3 queens? 8. The board of regents of a university is made up of 12 men and 16 women. If a committee is chosen at random, what is the probability: a) that it will contain 3 men and 3 women? b) that it will contain 4 men and 2 women? 9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committ of 3 is chosen by randomly pulling names from a hat. What committee has: is the probability that the a) 2 Democrats and 1 Republican? 14 b) 3 Independents? X25 x c) no Independents? 524 d) 1 Democrat, 1 Republican, and 1 Independent? e) at least one Independent? 10. Each of five cards is labeled with a letter A, B, C, D, or E. Two cards are chosen at ra without replacement. Find the probability that: a) both letters chosen are consonants. b) both letters chosen are vowels. *
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