A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Suppose we have a sample space S and three events A, B, and C such that S = AUBUC and ANB = AnC= Bnc =0 and an event E, Suppose we have the following results: P(A) = 1/4 P(C) = 1/2 P(퍼A) =1 P(E|B) = 0 P(E C) = 1/2 What is P(E) ? Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this.
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Transcribed Image Text:Suppose we have a sample space S and three events A, B, and C such that S = AUBUC and ANB = AnC= Bnc =0 and an event E, Suppose we have the following results: P(A) = 1/4 P(C) = 1/2 P(퍼A) =1 P(E|B) = 0 P(E C) = 1/2 What is P(E) ? Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this.
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