5. What is the probability of these events when we randomly select a permutation of {1,2, .n}, where n > 4?a) 1 precedes 2.b) 2 precedes 1.....c) 1 immediately precedes 2.d) n precedes 1 and n – 1 precedes 2.e) n precedes 1 and n also precedes 2.6. Assume that the probability of a child is a boy is p, and that the sexes pf children born into a family areindependent. What is the probability that a family of five children hasa) exact three boys?b) at least one boy?c) at least one girl?d) all children of the same sex?

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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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17 - There are 30 women and 80 men employees in a company. 25 women and 50 men are graduate students. What is the probability that an employee selected from a random company is a female or a graduate?A) 0.11 B) 0.727 C) 0.53 D) 0.42 E) 0.8
a) 0.1 b) None of the following c) 0.34 d) 0.66 e) 0.03
a glass manufacturer finds 1 in every 500 glass items prodced is warped. find the probability that A) the first warped glass item is the 10th item produced B) the first warped item is the 1st, 2nd or 3rd item produced C) none of the first 10 items produced are defective
Two numbers are randomly picked from the ranges [-1,2] and [1,3]. a) Write the sample space.b) What is the probability that the sum of these two numbers is less than 4 but greater than 2?c) What is the probability that the sum of these two numbers equals 4?d) The sum of these two numbers is less than 4, greater than 2 and x is greater than yWhat are the chances of it happening?
Suppose E and F are events such that n(E) = 16, n(F) = 15, and n(EnF) = 4. a) Find P(EIF). b) Find P(FIE). a) P(EIF) = b) P(FIE) = (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.)
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Four fair eight-sided dice are rolled. An outcome is an ordered sequence of 4 numbers between 1 and 8. For example, the sequence 1-1-4-3 is different from the sequence 4-1-3-1. a) How many outcomes are possible? b) What is the probability that a roll results in 4 different numbers? c) What is the probability that a roll results in 4 of the same number? a) The number of possible outcomes is (Simplify your answer.) b) The probability that a roll results in 4 different numbers is (Type an integer or decimal rounded to four decimal places as needed.) c) The probability that a roll results in 4 of the same number is (Type an integer or decimal rounded to seven decimal places as needed.)
9
555)!!?45((4()

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What is the probability of these events when we randomly select a permutation of {1,2, ... ,n}, where n > 4? a) 1 precedes 2. b) 2 precedes 1. c) 1 immediately precedes 2. d) n precedes 1 and n – 1 precedes 2. e) n precedes 1 and n also precedes 2.