/*! 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} Q. 2.36 Two cards are chosen at random f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.36 (page 51)

Two cards are chosen at random from a deck of 52playing cards. What is the probability that they

(a) are both aces?

(b) have the same value?

Short Answer

Expert verified

(a)0.0045(b)0.059

Step by step solution

01

Given Information.

Two cards are chosen at random from a deck of 52playing cards.

02

Part (a) Explanation.

P((bothaces)=P(firstace)P*(secondace)=(4/52)*(3/51)=0.0045

03

Part (b) Explanation.

P((bothsamevalue)=[Chooseavalue]P*(firstcard)P*(secondcardwithsamevalue)=(13C1)*(4/52)*(3/51)=13*(1/13)*(1/17)=0.059

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

In a state lottery, a player must choose 8the numbers from 1 to40. The lottery commission then performs an experiment that selects 8these 40numbers. Assuming that the choice of the lottery commission is equally likely to be any of the408combinations, what is the probability that a player has

(a)all8of the numbers selected by the lottery commission?

(b)7of the numbers selected by the lottery commission?

(c)at least 6of the numbers selected by the lottery

commission?

Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?

Prove the following relations:

IfE鈯�F,thenFc鈯�Ec

If P(E)=.9andP(F)=.8, show thatP(EF)鈮�.7.In general, prove Bonferroni鈥檚 inequality, namelyP(EF)鈮�P(E)+P(F)鈭�1.

A hospital administrator codes incoming patients suffering gunshot wounds according to whether they have insurance (coding 1if they do and 0if they do not) and according to their condition, which is rated as good (g), fair (f), or serious (s). Consider an experiment that consists of

the coding of such a patient.

(a) Give the sample space of this experiment.

(b) Let A be the event that the patient is in serious condition. Specify the outcomes in A.

(c) Let B be the event that the patient is uninsured. Specify the outcomes in B.

(d) Give all the outcomes in the event Bc鈭�A.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Calculus

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.