   # An experiment with three outcomes has been repeated 50 times, and it was learned that E 1 occurred 20 times, E 2 occurred 13 times, and E 3 occurred 17 times. Assign probabilities to the outcomes. What method did you use? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 4.1, Problem 6E
Textbook Problem
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## An experiment with three outcomes has been repeated 50 times, and it was learned that E1 occurred 20 times, E2 occurred 13 times, and E3 occurred 17 times. Assign probabilities to the outcomes. What method did you use?

To determine

Assign probabilities to the outcomes. Explain which method is used in the experiment.

### Explanation of Solution

Calculation:

The given experiment can be repeated in 50 times, E1 can occur in 20 times, E2 can occur in 13 times and E3 can occur in 17 times.

The probability of the event can be obtained as given below:

P(E)=Number of ways of an event occursTotal frequency=fN

Substitute 20 for ‘number of ways of an event occurs’ and 50 for ‘total frequency’ in the above equation.

Therefore,

P(E1)=2050=25=0.40

Thus, P(E1)=0

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