Question

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|M) mean in words?

Short answer

$\mathrm{P}(\mathrm{E}\mid \mathrm{M})$Indicates the likelihood that the cube will fall on an even number if the number is a multiple of three.

Step-by-step solution

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.

Explanation

The likelihood of receiving event A if event B has already happened is known as conditional probability.

P[A|B] is the notation for indicating conditional Probability.

$\mathrm{P}(\mathrm{E}\mid \mathrm{M})$ Indicates the conditional likelihood of receiving event E if event M has already occurred. Which indicates the chances of the cube landing on an even number if the number is a multiple of three.