1. Two events have P(A) = P(BIA) = and P(A/B) = Compute P(A n B), P(B), P(A U B). 2. A, B, and C are events with P (A)= 0.3, P(B) = 0.4, and P(C) = 0.5, A and B are disjoint, A and C are independent, and P(BIC) = 0. 1. Find P(AUBUC). 3. A group of students went on a school excursion. 2 of the students are to be randomly selected from the group to lead the side. If the group has 10 more boys than girls and that there are 756 equiprobable ordered selections, what is the probability that two boys or two girls got selected? 4. Plumber Bob does 40% of the plumbing jobs in a small town. 30% of the people in town are unhappy with their plumbers, but 50% of Bob's customers are unhappy with his work. If your neighbor is not happy with his plumber, what is the probability that it was Bob?

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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Need help 1,2 please with proper explanation
1. Two events have P(A) = P(B|A) = and P(A/B) = Compute
P(A n B), P(B), P(A U B).
2. A, B, and C are events with P (A) = 0.3, P(B) = 0.4, and P(C) = 0.5, A and B are disjoint, A
and C are independent, and P(BIC) = 0. 1. Find P(AUBUC).
3. A group of students went on a school excursion. 2 of the students are to be randomly selected
from the group to lead the side. If the group has 10 more boys than girls and that there are 756
equiprobable ordered selections, what is the probability that two boys or two girls got selected?
4. Plumber Bob does 40% of the plumbing jobs in a small town. 30% of the people in town are
unhappy with their plumbers, but 50% of Bob's customers are unhappy with his work. If your
neighbor is not happy with his plumber, what is the probability that it was Bob?
Transcribed Image Text:1. Two events have P(A) = P(B|A) = and P(A/B) = Compute P(A n B), P(B), P(A U B). 2. A, B, and C are events with P (A) = 0.3, P(B) = 0.4, and P(C) = 0.5, A and B are disjoint, A and C are independent, and P(BIC) = 0. 1. Find P(AUBUC). 3. A group of students went on a school excursion. 2 of the students are to be randomly selected from the group to lead the side. If the group has 10 more boys than girls and that there are 756 equiprobable ordered selections, what is the probability that two boys or two girls got selected? 4. Plumber Bob does 40% of the plumbing jobs in a small town. 30% of the people in town are unhappy with their plumbers, but 50% of Bob's customers are unhappy with his work. If your neighbor is not happy with his plumber, what is the probability that it was Bob?
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