Question

A survey of 600 randomly selected high school students determined that 463 play organized sports. ​(a) What is the probability that a randomly selected high school student plays organized​ sports?

Answer 1

0.77

Explanation:

Total number of high school students = 600

number of high school students play organized sports = 463

(a)

Number of ways of selection of student who plays organized sports

=
`^(463)C_(1)=463`

Number of ways of selection of student from total number of students

=
`^(600)C_(1)=600`

So, the probability of selection of one student who plays organized sports out of total number of students =
`(463)/(600)` = 0.77

Thus, the probability of selection of one student out of total who plays organized sports is 0.77.

Answer 2

probability = 0.7716

Explanation:

given data

Total number people surveyed N = 600

Number of students play organized sports x = 463

solution

we get here probability randomly select high school student play organized​ sport is express as

probability =
`(x)/(N)` ..............1

put here value and we get

probability =
`(463)/(600)`

probability = 0.7716