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Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does P(E OR M) mean in words?

Short Answer

Expert verified

P(EORM)When we roll a cube, we will either get an even number or a multiple of three, or both, which implies we will get an even number and a multiple of three.

Step by step solution

01

Introduction

The term "probability" simply refers to the likelihood of something occurring. We may talk about the probabilities of particular outcomes—how likely they are—when we're unclear about the result of an event. Statistics is the study of occurrences guided by probability.
02

Explanation

As we can see, it's talking about "OR," therefore we'll use the symbol "Union," indicated as " U," which signifies that out of two events, either the E or M event will happen, or both will happen.
According to the question, when we roll a cube, we will either obtain an even number or a multiple of three, or both, which indicates a number that is both even and a multiple of three.

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Most popular questions from this chapter

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

If all occupations are equally likely for a certain individual, what is the probability that he or she will have an occupation with lower than averageEHIS?

Use the following information to answer the next 12exercises. The graph shown is based on more than 170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.


What is the probability that an Emotional Health Index Score is 80.7or 82.7?

Use the following information to answer the next 12exercises. The graph shown is based on more than localid="1648902668215">170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

If we know an Emotional Health Index Score is 81.5 or more, what is the probability that it is 82.7.

A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(B AND D) = 0.20.

a. Find P(B|D).

b. Find P(D|B).

c. Are B and D independent?

d. Are B and D mutually exclusive?

United Blood Services is a blood bank that serves more than 500hospitals in 18 states. According to their website, a person with type O blood and a negative Rh factor (Rh-) can donate blood to any person with any blood type. Their data show that 43% of people have type O blood and 15% of people haveRh- factor; 52%of people have type O or Rh- factor.

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b. Find the probability that a person does NOT have both type O blood and the Rh- factor

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