/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 Explain the meaning of the inter... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 43

Explain the meaning of the intersection of two events. Give one example.

Short Answer

Expert verified
The intersection of two events, A and B, denoted as A 鈭� B, consists of the outcomes that are in both A and B. For instance, in a deck of cards, if event A is 'drawing a king' and event B is 'drawing a red card', their intersection, A 鈭� B, is 'drawing a red king'.

Step by step solution

01

Define Intersection

The intersection of two events A and B, denoted as A 鈭� B, is a third event that consists of all outcomes that are in both A and B. It's a term from set theory that is used in probability. In probability theory, we say that events A and B intersect if they have some outcomes in common.
02

Provide an example

Let's consider a deck of cards. Event A could be 'drawing a king' and event B might be 'drawing a red card'. The intersection of these two events, A 鈭� B, would be 'drawing a red king', because a red king is the common card both in the event of 'drawing a king' (there are four kings in a deck: two red, two black) and 'drawing a red card' (there are two red kings in the 26 red cards).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The probability that an employee at a company is a female is .36. The probability that an employee is a female and married is .19. Find the conditional probability that a randomly selected employee from this company is married given that she is a female.

Briefly explain the two properties of probability.

The probability that an open-heart operation is successful is \(.84\). What is the probability that in two randomly selected open-heart operations at least one will be successful?

A player plays a roulette game in a casino by betting on a single number each time. Because the wheel has 38 numbers, the probability that the player will win in a single play is \(1 / 38\). Note that each play of the game is independent of all previous plays. a. Find the probability that the player will win for the first time on the 10 th play. b. Find the probability that it takes the player more than 50 plays to win for the first time. c. A gambler claims that because he has 1 chance in 38 of winning each time he plays, he is certain to win at least once if he plays 38 times. Does this sound reasonable to you? Find the probability that he will win at least once in 38 plays.

A ski patrol unit has nine members available for duty, and two of them are to be sent to rescue an injured skier. In how many ways can two of these nine members be selected? Now suppose the order of
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.