(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?

(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?

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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