Textbook Problem

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An experiment has four equally likely outcomes: E₁, E₂, E₃, and E₄.

1. a. What is the probability that E₂ occurs?
2. b. What is the probability that any two of the outcomes occur (e.g., E₁ or E₃)?
3. c. What is the probability that any three of the outcomes occur (e.g., E₁ or E₂ or E₄)?

To determine

Find the probability for occurrence of $E_2$.

Explanation of Solution

Calculation:

The given experiment has four equally likely outcomes and they are $E_1,E_2,E_3,\text{and}{E}_4$.

Equally likely outcomes:

If the outcomes are said to be equally likely if they have equal chance of occurrence.

There are total of 4 outcomes and each outcome is equally likely

To determine

Find the probability that any two of the outcomes are occur.

To determine

Find probability that any three of the outcomes are occur.