/*! 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 435 What is the probability that the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 435

What is the probability that the sum 11 will appear in a single throw of 2 dice?

Short Answer

Expert verified
The probability of getting the sum of 11 in a single throw of 2 dice is \(\frac{1}{18}\).

Step by step solution

01

Determine the total possible outcomes of throwing 2 dice

We have 6 possible outcomes for each die (1, 2, 3, 4, 5, and 6). To find the total possible outcomes for the two dice, we multiply the number of outcomes for each die: \(6\times 6= 36\).
02

Determine the favorable outcomes that result in the sum 11

Now we need to find the combinations of die rolls that sum up to 11. By enumerating these combinations, we find there is only one option: (5, 6) or (6, 5).
03

Find the probability of getting the sum 11

To find the probability, we take the number of favorable outcomes and divide by the total possible outcomes. In this case, we get \(\frac{2}{36} = \frac{1}{18}\). So, the probability of getting the sum of 11 in a single throw of 2 dice is \(\frac{1}{18}\).

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

A box contains 4 black marbles, 3 red marbles, and 2 white marbles. What is the probability that a black marble, then a red marble, then a white marble is drawn without replacement?

A box contains 7 red, 5 white, and 4 black balls. What is the probability of your drawing at random one red ball? One black ball?

Find the chance of throwing at least one ace in a single dice. throw with two \begin{tabular}{rrrrrrr} \multirow{8}{*} {\(\mathrm{S}=\)} & 1,1 & 1,2 & 1,3 & 1,4 & 1,5 & 1,6 \\ & 2,1 & 2,2 & 2,3 & 2,4 & 2,5 & 2,6 \\ & 3,1 & 3,2 & 3,3 & 3,4 & 3,5 & 3,6 \\ & 4,1 & 4,2 & 4,3 & 4,4 & 4,5 & 4,6 \\ & 5,1 & 5,2 & 5,3 & 5,4 & 5,5 & 5,6 \\ & 6,1 & 6,2 & 6,3 & 6,4 & 6,5 & 6,6 \end{tabular}

Four cards are to be dealt successively, at random and without replacement, from an ordinary deck of playing cards. Find the probability of receiving a spade, a heart, a diamond, and a club, in that order.

10 white balls and 19 blue balls are in a box. If a man draws a ball from the box at random, what are the odds in favor of him drawing a blue ball?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.