/*! 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 541 What is the probability of makin... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 23: Problem 541

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

Short Answer

Expert verified
The probability of making a 7 in one throw of a pair of dice is \(1/6\) or \(0.1667\) or \(16.67\%\).

Step by step solution

01

Determine the total number of outcomes

Since there are two dice and each die has six sides, there are a total of 6 * 6 = 36 possible outcomes when tossing the dice.
02

Identify the outcomes with a sum of 7

Now, let's list down all the possible combinations of numbers that give a sum of 7: 1. 1 + 6 2. 2 + 5 3. 3 + 4 4. 4 + 3 5. 5 + 2 6. 6 + 1 There are 6 combinations of numbers that result in a sum of 7.
03

Calculate the probability

Now that we know there are 6 favorable outcomes (combinations with a sum of 7) and a total of 36 outcomes, we can calculate the probability. The probability is defined as the number of favorable outcomes divided by the total number of outcomes: Probability = Number of Favorable Outcomes / Total Number of Outcomes In our case: Probability = 6 / 36 = 1 / 6
04

Express the probability as a fraction, decimal, and percentage

The probability can be represented as: Fraction: \(1/6\) Decimal: \(0.1667\) (rounded to 4 decimal places) Percentage: \(16.67\%\) (rounded to 2 decimal places) So, the probability of getting a sum of 7 in one throw of a pair of dice is \(1/6\) or \(0.1667\) or \(16.67\%\).

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 A wins a certain game is \(2 / 3\). If A plays 5 games, what is the probability that A will win (a) exactly 3 games? (b) at least 3 games?

Find the probability of throwing two sixes in one toss of a pair of dice.

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.

A penny is to be tossed 3 times. What is the probability there will be 2 heads and 1 tail?

Determine the probability of getting 6 or 7 in a toss of two Dice.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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.