   Chapter 14.3, Problem 21E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Rolling Dice Six dice are rolled. Find the probability that two of them show a four.

To determine

To find:

The probability that two of the six dice rolled show a four.

Explanation

Given:

Six dice are rolled.

Approach:

For a binomial experiment with two outcomes with outcome of success in each trial equal to p,

The probability of r successes in n trials is equal to

P (r successes in n trials) =C(n,r)pr(1p)nr...(1)

Calculation:

Interpret this problem as a binomial experiment with two outcomes: a dice shows a four or a dice does not show a four.

All 6 number on the dice are equally likely to show up. We get

Probability of success, p=16

Number of trials, n=6

Problem asks probability for two successful trials

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