   Chapter 9.4, Problem 11E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 10 to 12, the probability is the ratio n u m b e r   o f   f a v o r a b l e   o u t c o m e s n u m b e r   o f p o s s i b l e     o u t c o m e s . Use Example 2 of this section as a guide.Assume that a die in the shape of a regular dodecahedron is rolled. What is the probability thata) an even number results?b) a prime number (2, 3, 5, 7 or 11) results ?c) the result is larger than 2?

To determine

a)

To find:

The probability of an even number result on rolling a die.

Explanation

Approach:

If there are n elementary events associated to a random experiment such that m of them are favorable to an event A then,

Probability of happening of A=mn=Number of favorable outcomesTotal number of outcomes

Consider a die in the shape of a regular dodecahedron. The die will have all twelve faces as congruent pentagons. The faces will be numbered from 1 to 12. Assuming each face has an equal chance of being rolled

To determine

b)

To find:

The probability of a prime number result on rolling a die.

To determine

c)

To find:

Probability of a result larger than 2 on rolling a die.

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