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9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committee of 3 is chosen by randomly pulling names from a hat. What is the probability that the committee has: Is a) 2 Democrats and 1 Republican? b) 3 Independents? c) no Independents? 2923 d) 1 Democrat, 1 Republican, and 1 Independent? e) at least one Independent? 315

9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committee of 3 is chosen by randomly pulling names from a hat. What is the probability that the committee has: Is a) 2 Democrats and 1 Republican? b) 3 Independents? c) no Independents? 2923 d) 1 Democrat, 1 Republican, and 1 Independent? e) at least one Independent? 315

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer question 9e. Write out each step and explain what you are doing.
5. In another state, license plates are formed using 6 symbols, any of which can be a number or a letter. randomly draw a) How many license plates are there? b) What is the probability that a license plate has the following? I. All letters. II. At least one letter. III. At least 5 numbers. ^ IV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, and voo anything at all fifth and sixth. in wath 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? c) getting 5 face cards? 4 > 12 4 4 d) getting just face cards or aces? 1 e) getting 4 aces? is 32+ 52 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 committee of 3 is chosen by randomly pulling names from a hat. What is the probability that the committee has: a) 2 Democrats and 1 Republican? b) 3 Independents? X25 c) no Independents? 29 23 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 random without replacement. Find the probability that: a) both letters chosen are consonants. b) both letters chosen are vowels. combination.
Transcribed Image Text:5. In another state, license plates are formed using 6 symbols, any of which can be a number or a letter. randomly draw a) How many license plates are there? b) What is the probability that a license plate has the following? I. All letters. II. At least one letter. III. At least 5 numbers. ^ IV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, and voo anything at all fifth and sixth. in wath 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? c) getting 5 face cards? 4 > 12 4 4 d) getting just face cards or aces? 1 e) getting 4 aces? is 32+ 52 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 committee of 3 is chosen by randomly pulling names from a hat. What is the probability that the committee has: a) 2 Democrats and 1 Republican? b) 3 Independents? X25 c) no Independents? 29 23 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 random without replacement. Find the probability that: a) both letters chosen are consonants. b) both letters chosen are vowels. combination.
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