Consider three events A, B and C, with Pr(A) = 0.2 Pr(B) = 0.3 Pr(A ∪ B) = 0.5 Pr(A∩C)=0.1 Pr(B∩C)=0.1 Pr(A∪B∪C)=0.3 Draw a Venn diagram to represent these three events. Include the probability for each region of the Venn diagram.

Venn diagram in the diagram is used to represents the probability value. If one round overlaps the…

Answered: Consider three events A, B and C, with Pr(A) = 0.2 Pr(B) = 0.3 Pr(A ∪ B) = 0.5 Pr(A∩C)=0.1 Pr(B∩C)=0.1 Pr(A∪B∪C)=0.3 Draw a Venn diagram to represent these…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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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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Question

Consider three events A, B and C, with
Pr(A) = 0.2 Pr(B) = 0.3 Pr(A ∪ B) = 0.5

Pr(A∩C)=0.1 Pr(B∩C)=0.1 Pr(A∪B∪C)=0.3
1. Draw a Venn diagram to represent these three events. Include the probability for each
region of the Venn diagram.

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