A survey of 800 randomly selected high school students determined that 324 play organized sports.
(a) What is the probability that a randomly selected high school student plays organized sports?
(b) Interpret this probability.
(a) The probability that a randomly selected high school student plays organized sports is
(Round to the nearest thousandth as needed.)

Question

UpStudy AI · Accepted Answer

To find the probability that a randomly selected high school student plays organized sports, we can use the formula for probability:

$$
P(\text{plays organized sports}) = \frac{\text{Number of students who play organized sports}}{\text{Total number of students surveyed}}
$$

Given that 324 students play organized sports out of a total of 800 students surveyed, we can calculate the probability as follows:

$$
P(\text{plays organized sports}) = \frac{324}{800}
$$

Now, we can simplify this fraction:

$$
P(\text{plays organized sports}) = 0.405
$$

Rounding to the nearest thousandth, we get:

$$
P(\text{plays organized sports}) \approx 0.405
$$

### (b) Interpretation of this probability:

The probability of 0.405 means that there is a 40.5% chance that a randomly selected high school student from this survey plays organized sports. This indicates that nearly 4 out of every 10 high school students are involved in organized sports activities.
(a) The probability is 0.405. (b) This probability indicates a 40.5% chance that a randomly selected high school student plays organized sports.

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