/*! 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 1110 Determine the probability of get... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 35: Problem 1110

Determine the probability of getting 6 or 7 in a toss of two dice.

Short Answer

Expert verified
The probability of getting a sum of 6 or 7 in a toss of two dice is \(P(6 \textrm{ or } 7) = \frac{11}{36}\).

Step by step solution

01

Determine the total possible outcomes

When rolling two dice, there are 6 sides on each die, which means there are a total of 6 x 6 = 36 possible combinations of outcomes.
02

Identify the successful outcomes for both 6 and 7

We need to find the combinations of the dice rolls that result in a sum of either 6 or 7. Combinations for 6 are: (1,5), (2,4), (3,3), (4,2), (5,1) - 5 combinations Combinations for 7 are: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) - 6 combinations
03

Calculate the total successful outcomes

We now add the number of successful outcomes for 6 and 7. There are 5 combinations for 6 and 6 combinations for 7, so in total, there are 5 + 6 = 11 successful outcomes.
04

Calculate the probability

Now we can determine the probability by dividing the number of successful outcomes by the total possible outcomes. Probability (P) = Successful outcomes / Total possible outcomes = 11/36 So, \(P(6 \textrm{ or } 7) = \frac{11}{36}\).

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

An urn contains 6 white, 4 black, and 2 red balls. In a single draw, find the probability of drawing: (a) a red ball; (b) a black ball; (c) either a white or a black ball. Assume all outcomes equally likely.

There is a box containing 5 white balls, 4 black balls, and 7 red balls. If two balls are drawn one at a time from the box and neither is replaced, find the probability that (a) both balls will be white. (b) the first ball will be white and the second red. (c) if a third ball is drawn, find the probability that the three balls will be drawn in the order white, black, red.

Find the probability that when a pair of dice are thrown, the sum of the two up faces is greater than 7 or the same number appears on each face.

In a single throw of a pair of dice, find the probability of obtaining a total of 4 or less.

What is the probability of making a 7 in one throw of a pair of dice?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

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.