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Chapter 3: Q. 39 (page 217)

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鈥攈ow likely they are鈥攚hen 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 three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38numbers, and each number is assigned to a color and a range.

Compute the probability of winning the following types of bets:

a. Betting on a color

b. Betting on one of the dozen groups

c. Betting on the range of numbers from 1to18

d. Betting on the range of numbers19-36

e. Betting on one of the columns

f. Betting on an even or odd number (excluding zero)

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German.Suppose P(A) = 0.4 and P(B) = 0.2. P(A AND B) = 0.08. Are events A and B independent? Hint: You must show ONE of the following:

鈥� P(A|B) = P(A)

鈥� P(B|A) = P(B)

鈥� P(A AND B) = P(A)P(B)

Use the information in the Table 3.19to answer the next eight exercises. The table shows the political party affiliation of each of 67members of the US Senate In June 2012. and when they are up reelection.

Suppose that a member of the US Senate is randomly selected. Given that the randomly selected senator is up for reelection In November 2016, what is the probability that this senator is a Democrat?

The events "Other" and "Up for reelection in November 2016" are

a. mutually exclusive.

b. independent.

c. both mutually exclusive and independent.

d. neither mutually exclusive nor independent.

Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in

South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(E).
See all solutions

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