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? danta?
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? danta?
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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Question
Answer question 9a and explain what you did.
Transcribed Image Text:1 he
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5. In another state, license plates are formed using 6 symbols, any of which can be a number or a
letter.
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.
A
in with
IV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, and wooh
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:
combination
a) getting 5 spades?
b) getting 5 black cards?
4
'
c) getting 5 face cards?
12
4
4
d) getting just face cards or a aces?
1
32 +
e) getting 4 aces?
i
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?
Xis
b) 3 Independents?
29
23
c) no Independents?
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.
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