Chapter 7.1, Problem 17E

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Suppose a die is tossed 1200 times and a 6 comes up 431 times.(a) Find the empirical probability for a 6 to occur.(b) On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased?

(a)

To determine

To calculate: The empirical probability for a 6 to occur if a die is tossed 1200 times and a 6 comes up 431 times.

Explanation

Given Information:

A die is tossed 1200 times and a 6 comes up 431 times.

Formula used:

The probability of an event occurring k times out of n equally likely ways, then,

Pr(E)=kn

Calculation:

Consider the formula for probability,

Pr(E)=kn

(b)

To determine

The die is fair or biased if a die is tossed 1200 times and a 6 comes up 431 times.

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