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Chapter 3: Q. 38 (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|M) mean in words?

Short Answer

Expert verified

P(E鈭�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

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

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.

P(E鈭�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.

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Most popular questions from this chapter

The probability that a male develops some form of cancer in his lifetime is 0.4567. The probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51. Some of the following questions do not have enough information for you to answer them. Write 鈥渘ot enough information鈥� for those

answers. Let C = a man develops cancer in his lifetime and P = man has at least one false positive.

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Consider the following scenario:

Let P(C)=0.4.Let P(D)=0.5. Let PC|D=0.6.

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The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51 Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation.
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