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Chapter 4: Problem 12

Briefly describe an impossible event and a sure event. What is the probability of the occurrence of each of these two events?

Short Answer

Expert verified
An impossible event, such as rolling a number greater than 6 on a standard die, has a probability of 0. A sure event, like rolling a number less than 7 on a standard die, has a probability of 1.

Step by step solution

01

Understand the concept of an impossible event

In probability, an impossible event refers to an event that has no chance of happening. It is an event with a probability of 0. Example of an impossible event can be 'Getting a number greater than 6 on a single roll of a standard six-sided die.'
02

Understand the concept of a sure event

In contrast to the impossible event, a sure event in probability refers to an event that is certain or guaranteed to happen. This means it has a probability of 1. For instance, 'Getting a number less than 7 on a single roll of a standard six-sided die.'
03

Determine the probability of occurrence of the two events

Considering the definitions and examples provided in the previous steps,the probability of an impossible event occurring is 0. Likewise, the probability of a sure event taking place is 1.

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Most popular questions from this chapter

Given that \(A\) and \(B\) are two mutually exclusive events, find \(P(A\) or \(B\) ) for the following. a. \(P(A)=.71\) and \(P(B)=.03\) b. \(P(A)=.44\) and \(P(B)=.38\)

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