Question

An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .

Short answer

The probability that the event is$0.625$.

Step-by-step solution

Step 1. Given information.

The given statement is:

An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .

Step 2. Explanation.

The probability of an event can be determined using the following formula:

$P=\frac{f}{N}$.

where N is the total number of outcomes and f is the number of positive outcomes.

Therefore, $f=25\mathrm{and}N=40$.

The probability of the event is:

$$\begin{gathered} P=\frac{25}{40} \\ =0.625 \end{gathered}$$

The probability that the event occurs is$0.625$.