Chapter 13: Q. 41 (page 865)

Two fair dice are rolled.
Determine the probability that the sum of the two dice is 7.

Short Answer

Expert verified

The probability is $\frac{1}{6}$

Step by step solution

Step 1. Given Information

The given statement is the sum of the two dice is 7.

Step 2. Calculation

The probability of an event is given by the number of ways the event can occur divided by the total number of outcomes in the sample space.

When two dice are rolled sample space is given by $n (S) = 36$ that is total number of elements in the sample space.

Let E represent the event 'the sum of two dice is 6' that is $n (E) = 6$

On substituting the values in the formula, we get,

$P = \frac{n (E)}{n (S)} = \frac{6}{36} = \frac{1}{6}$

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Two fair dice are rolled.
Determine the probability that the sum of the two dice is 7.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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Two fair dice are rolled.Determine the probability that the sum of the two dice is 7.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Applied Mathematics

Calculus

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Two fair dice are rolled.
Determine the probability that the sum of the two dice is 7.