Question

An experiment has 20 possible outcomes, all equally likely. An event can occur in five ways. The probability that the event occurs is .

Short answer

The probability that the event occurs is$0.5$.

Step-by-step solution

Step 1. Given information.

The given statement is:

An experiment has 20 possible outcomes, all equally likely. An event can occur in five ways. The probability that the event occurs 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, $f=5\mathrm{and}N=20$.

The probability of the event is:

$$\begin{gathered} =\frac{5}{20} \\ =0.5 \end{gathered}$$

The probability that the event occurs is $0.5$.