Problem 4. A drawer contains 11 identical red socks, 8 identical black socks and 6 identical green socks. a) How many ways are there to randomly select 5 of these socks? b) In how many ways can a sample of 4 socks be selected so that exactly 3 are black? c) If a sample of 5 socks is randomly selected, what is the probability that at least 4 of these will be red? d) If a sample of 5 socks is randomly selected, what is the probability that at most 3 of these will be green? e) If a sample of 5 socks is randomly selected, what is the probability that 2 will be reed, 1 black and 2 green?

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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Problem 4. A drawer contains 11 identical red socks, 8 identical black socks and
6 identical green socks.
a) How many ways are there to randomly select 5 of these socks?
b) In how many ways can a sample of 4 socks be selected so that exactly 3 are
black?
c) If a sample of 5 socks is randomly selected, what is the probability that at least
4 of these will be red?
d) If a sample of 5 socks is randomly selected, what is the probability that at most
3 of these will be green?
e) If a sample of 5 socks is randomly selected, what is the probability that 2 will
be reed, 1 black and 2 green?
Transcribed Image Text:Problem 4. A drawer contains 11 identical red socks, 8 identical black socks and 6 identical green socks. a) How many ways are there to randomly select 5 of these socks? b) In how many ways can a sample of 4 socks be selected so that exactly 3 are black? c) If a sample of 5 socks is randomly selected, what is the probability that at least 4 of these will be red? d) If a sample of 5 socks is randomly selected, what is the probability that at most 3 of these will be green? e) If a sample of 5 socks is randomly selected, what is the probability that 2 will be reed, 1 black and 2 green?
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