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Chapter 5: Q 5.48. (page 209)

What does it mean two events to be mutually exclusive.?

Short Answer

Expert verified

If two occurrences have no common consequences, they are said to be mutually exclusive.

Step by step solution

01

Step 1. Given information.

When the two events are considered mutually exclusive.

02

Step 2. If two occurrences have no common consequences, they are said to be mutually exclusive.

It signifies that the chances of them both happening at the same moment are nil. Assume A and B are two events that are mutually exclusive. It implies that:

A∩B=ϕ

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Most popular questions from this chapter

Give two examples of Bernoulli trials other than those presented in the text.

A, B, and C are mutually exclusive events such that P(A)=0.2,P(B)=0.6,and P(C)=0.1. Find P(AorBorC).

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) TableVII in AppendixA. Compare your answer here to that in part (a).

n=6,p=0.5,P(X=4)

Interpret each of the following probability statements, using the frequentist interpretation of probability.

(a) The probability of being dealt a pocket pair in Texas hold'em is 0.059.

(b). If a balanced dime is tossed three times, the probability that it will come up heads all three times is 0.125.

Interpret each of the following probability statements, using the frequentist interpretation of probability.

(a). The probability is 0.487 that a newborn baby will be a girl.

(b). The probability of a single ticket winning a prize in the Powerball lottery is 0.031.
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