Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (See the figure below for the sample space of this experiment. Enter the probability as a fraction.)At most 7 The image displays a grid of dice patterns arranged in alternating colors and numbers. Each cell in the grid contains a pair of dice, one colored in teal and the other in pink. Here's a detailed breakdown of the patterns:1. **Rows and Columns:** - The grid consists of 10 rows and 6 columns, creating a total of 60 cells.2. **Dice Patterns:** - Each cell contains two dice: one colored teal and the other pink. - The numbers on the dice range from 1 to 6, represented by dots on the faces.3. **Color and Number Variations:** - The teal dice and pink dice display different numbers within each cell, ranging from a single dot (representing one) to six dots. - The numbers are arranged so that each complete row and column displays all possible combinations of dice numbers in teal and pink.4. **Overall Arrangement:** - The configuration of the dice appears sequential, possibly intended to demonstrate combinations or probability distributions using different colored dice.This grid could serve as a visual aid for teaching concepts in probability, statistics, or combinatorics, illustrating the variety of outcomes that can arise from rolling two distinct sets of dice.

Name: Two regular six-sided dice are tossed. Compute the probability that th
Uploaded: 2022-11-30T15:56:00.000Z
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Description: Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (See the figure below for the sample space of this experiment. Enter the probability as a fraction.)At most

In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Math

Probability

Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (See the figure below for the sample space of this experiment. Enter the probability as a fraction.) At most 7

Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (See the figure below for the sample space of this experiment. Enter the probability as a fraction.) At most 7

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

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At most 7

The image displays a grid of dice patterns arranged in alternating colors and numbers. Each cell in the grid contains a pair of dice, one colored in teal and the other in pink. Here's a detailed breakdown of the patterns:

1. **Rows and Columns:**
- The grid consists of 10 rows and 6 columns, creating a total of 60 cells.

2. **Dice Patterns:**
- Each cell contains two dice: one colored teal and the other pink.
- The numbers on the dice range from 1 to 6, represented by dots on the faces.

3. **Color and Number Variations:**
- The teal dice and pink dice display different numbers within each cell, ranging from a single dot (representing one) to six dots.
- The numbers are arranged so that each complete row and column displays all possible combinations of dice numbers in teal and pink.

4. **Overall Arrangement:**
- The configuration of the dice appears sequential, possibly intended to demonstrate combinations or probability distributions using different colored dice.

This grid could serve as a visual aid for teaching concepts in probability, statistics, or combinatorics, illustrating the variety of outcomes that can arise from rolling two distinct sets of dice.

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