Question

Let the sample space be S={1, 2, 3, 4, 5}. Suppose the outcomes are equally likely. Compute the probability of the event E="an even number less than 5

Answer 1

Answer on Question #64734 – Math – Statistics and Probability

Question

Let the sample space be $S = \{1, 2, 3, 4, 5\}$. Suppose the outcomes are equally likely. Compute the probability of the event $E =$ an even number less than 5.

Solution

If the sample space is

$$S = \{1, 2, 3, 4, 5\},$$

then

$$E = \text{an even number less than } 5 = \{2, 4\}.$$

It is given that the outcomes are equally likely.

According to the classical definition of probability, the probability of the event $E$ is

$$P(E) = \frac{|E|}{|S|} = \frac{2}{5} = 0.4.$$

Answer: 0.4.

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