A box contains one yellow, two red, and three green balls. Two balls arerandomly chosen without replacement. Define the following events:A : { One of the balls is yellow }B: { At least one ball is red }C:{ Both balls are green }D: { Both balls are of the same color }Find the following conditional probabilities:(a) P(A°|B) =(b) P(B|D) =(c) P(D|C°) =

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Answered: A box contains one yellow, two red, and…

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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(vi) A coffee shop conducted a survey, which determined that of all customers: 70% puts sugar in their coffee, 35% adds milk, and 25% use both. Suppose a customer is selected at random. The probability that this customer uses exactly one of these two items is
In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The result were as follows: 300 people voted for A, 450 people voted for B, and 50 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities: 1) The person voted for A, given that he voted for B. 2) The person voted for B, given that he voted for A.
You are given four events A, B, C, D that are independent, and whose probabilities are Pr(A) = 0.6, Pr(B) = 0.5, Pr(C) = 0.4, and Pr(D) = 0.3. Find the probability that at least two events of these events happen. O 0.2908 O 0.4684 O 0.3748 O 0.7092 O 0.6140
Let A and B be mutually exclusive events, such that P(A) = 0.2371 and P(B) = 0.1133. Find the following probabilities: P(A and B)= P(A or B)= % (Round the answer to 2 decimals) % (Round the answer to 2 decimals)
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
In a bolt factory, machines A, B, C manufacture 30%, 30%, 40% of the total output respectively. From their outputs, 4, 5, 3 per cents are defective bolt. A bolts is drawn at random and found to be defective. What are the probabilities that it was manufactured by machines A, B and C?

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