/*! 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.2.19 Two symmetric dice have had two ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q.2.19 (page 49)

Two symmetric dice have had two of their sides painted red, two painted black, one painted yellow, and the other

painted white. When this pair of dice are rolled, what is the probability that both dice land with the same color face up?

Short Answer

Expert verified

The probability that both dice land with the same color face-up is0.28.

Step by step solution

01

Given Information.

Two symmetric dice have had two of their sides painted red, two painted black, one painted yellow, and the other painted white.

02

Explanation.

The same color on face-up can be any of the 4colors. Let's find the probability of landing a color when only 1dice are rolled.

P(red)=2/6P(black)=2/6P(white)=1/6P(yellow)=1/6

Since both dice are independent of each other we can just multiply the individual values to get probabilities for the same color on the up face.

P(red)=(2/6)*(2/6)=4/36P(black)=(2/6)*(2/6)=4/36P(white)=(1/6)*(1/6)=1/36P(yellow)=(1/6)*(1/6)=1/36

P(samecolor)=P(red)+P(black)+P(white)+P(yellow)

P(Samecolour)=(4/36)+(4/36)+(1/36)+(1/36)=10/36=0.28

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

Poker dice are played by simultaneously rolling 5dice. Show that

(a)P(notwoalike)=.0926;(b)P(onepair)=.4630;(c)P(twopair)=.2315;(d)P(threealike)=.1543;(e)P(fullhouse)=.0386;(f)P(fouralike)=.0193;(g)P(fivealike)=.0008.

A woman has n keys, of which one will open her door.

(a) If she tries the keys at random, discarding those that do not work, what is the probability that she will open the door on her kth try?

(b) What if she does not discard previously tried keys?

If it is assumed that all525 poker hands are equally likely, what is the probability of being dealt

(a)a flush? (A hand is said to be a flush if all 5cards are of the same suit.)

(b)one pair? (This occurs when the cards have denominations a,a,b,c,d,where a,b,c,anddare all distinct.)

(c)two pairs? (This occurs when the cards have denominations a,a,b,b,c,where a,b,and care all distinct.)

(d)three of a kind? (This occurs when the cards have denominations a,a,a,b,c,where a,b,and care all distinct.)

(e)four of a kind? (This occurs when the cards have denominationsa,a,a,a,b)

Two balls are chosen randomly from an urn containing8white,4 black, and2 orange balls. Suppose that we win \(2for each black ball selected and we lose \)1for each white ball selected. Let Xdenote our winnings. What are the possible values of X, and what are the probabilities associated with each value?

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?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

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.