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Chapter 4: Problem 16

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 is one that cannot occur, like rolling a number greater than 6 on a six-sided die; its probability is zero. A sure event is guaranteed to happen, such as rolling a number between 1 and 6 on a six-sided die; its probability is one.

Step by step solution

01

Define Impossible Event

An impossible event is something that cannot happen under any circumstance. For example, rolling a number greater than 6 with a standard six-sided die is an impossible event, as the numbers on the die only go up to 6.
02

Probability of Impossible Event

The probability of an impossible event occurring is always 0. This is because it is impossible for the event to occur.
03

Define Sure Event

A sure event is something that will certainly happen. For example, if you roll a standard six-sided die, it is a sure event that the number rolled will be between 1 and 6, inclusive.
04

Probability of Sure Event

The probability of a sure event occurring is always 1. This is because the event is certain to occur.

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