Question

By using relative frequency, Barney estimates that the probability of his high school team winning a soccer match against the Sweet Valley High School team is 0.2. Barney's calculation is based on the results of 30 matches the two teams played. How many of these 30 matches did Barney's high school team win?

Answer 1

Answer:

The answer is six

Step-by-step explanation:

By using relative frequency, Barney estimates that the probability of his high school team winning a soccer match against the Sweet Valley High School team is 0.2. Barney's calculation is based on the results of 30 matches the two teams played

Relative frequency is a tool used for probability.

It means using real-life outcomes to predict the probability of future outcomes.

Since the realitive frequency of Barney's high school winning a match is 0.2, or  , that means that out of the past 30 matches only  were victories.  

0.2 * 30 = 6

Therefore only six out of the previous matches were wins.

Answer 2

Answer:

Barney's high school team won 6 of these 30 matches.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total games 30, probability of winning 0.2. We have to find the number of desired outcomes, that is, the number of wins. So

$p = \frac{w}{t}$

$0.2 = \frac{w}{30}$

$w = 30 \times 0.2$

$w = 6$

Barney's high school team won 6 of these 30 matches.