A survey of 600 randomly selected high school students determined that 336 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.)

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

$$
P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
$$

In this case, the number of favorable outcomes is the number of students who play organized sports (336), and the total number of outcomes is the total number of students surveyed (600).

(a) The probability $$ P $$ that a randomly selected high school student plays organized sports is:

$$
P = \frac{336}{600}
$$

Now, we can calculate this:

$$
P = \frac{336}{600} = 0.56
$$

Rounding to the nearest thousandth, we have:

$$
P \approx 0.560
$$

(b) The interpretation of this probability is that there is a 56.0% chance that a randomly selected high school student plays organized sports. This means that if you were to randomly select a high school student, you would expect that about 56 out of every 100 students play organized sports.
(a) The probability is 0.560. (b) This means there's a 56.0% chance a randomly selected student plays organized sports.

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