in a recreation center with 1,500 members, 200 are high school students. of the members, 300 regularly swim…

in a recreation center with 1,500 members, 200 are high school students. of the members, 300 regularly swim. the 45 students of the high school swim team are all members and practice at the pool every week. what is the probability that a high school member selected at random is on the swim team?\nthe probability is (square).\n(simplify your answer.)

in a recreation center with 1,500 members, 200 are high school students. of the members, 300 regularly swim. the 45 students of the high school swim team are all members and practice at the pool every week. what is the probability that a high school member selected at random is on the swim team?\nthe probability is (square).\n(simplify your answer.)

Answer

Explanation:

Step1: Identify relevant numbers

We want the probability for high - school members. There are 200 high - school members (total high - school students in the center), and 45 of them are on the swim team.

Step2: Use probability formula

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is the number of high - school students on the swim team (45), and the total number of outcomes is the total number of high - school students (200). So $P = \frac{45}{200}$.

Step3: Simplify the fraction

$\frac{45}{200}=\frac{45\div5}{200\div5}=\frac{9}{40}$.

Answer:

$\frac{9}{40}$