(a) What is the probability that a card chosen from a standard deck of cards is a King or a diamond? (b) What is the conditional probability that a random string of 4 bits does not contain at least three consecutive ones, given that the first bit is a one? (c) What is the probability that a five-card poker hand contains the five of hearts, the Jack of clubs, and the Queen of diamonds? (d) What is the minimum number of applicants, each of whom comes from one of the 13 districts of a particular state, who must be interviewed for a government committee to guarantee that there are at least 17 persons who come from the same district?

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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(a) What is the probability that a card chosen from a standard deck of cards is a King or a
diamond?
(b) What is the conditional probability that a random string of 4 bits does not contain at
least three consecutive ones, given that the first bit is a one?
(c) What is the probability that a five-card poker hand contains the five of hearts, the Jack
of clubs, and the Queen of diamonds?
(d) What is the minimum number of applicants, each of whom comes from one of the 13
districts of a particular state, who must be interviewed for a government committee to
guarantee that there are at least 17 persons who come from the same district?
Transcribed Image Text:(a) What is the probability that a card chosen from a standard deck of cards is a King or a diamond? (b) What is the conditional probability that a random string of 4 bits does not contain at least three consecutive ones, given that the first bit is a one? (c) What is the probability that a five-card poker hand contains the five of hearts, the Jack of clubs, and the Queen of diamonds? (d) What is the minimum number of applicants, each of whom comes from one of the 13 districts of a particular state, who must be interviewed for a government committee to guarantee that there are at least 17 persons who come from the same district?
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