Question

According to a recent survey 35% of high school students play a sport. If 2 students are randomly chosen from a group of 100 high school students, what is the probability that at least one of them does not play a sport? A 12.25%B 65%C 70%D 88%

Answer 1

The probability that at least one out of two randomly chosen high school students does not play a sport is 88%.

Step-by-step explanation:

The question asks about the probability that at least one out of two randomly chosen high school students does not play a sport. To find this probability, it is easier to calculate the complementary probability that both students play a sport and then subtract it from 1 (100%). Given that 35% of high school students play a sport, the probability that both randomly chosen students play a sport is 0.35 × 0.35 = 0.1225 or 12.25%. The complementary probability that at least one does not play a sport is 1 - 0.1225 = 0.8775 or 87.75%, which is closest to 88% given in the answer choices.

Therefore, the correct answer is D 88%, representing the probability that at least one out of two randomly chosen students does not play a sport.

Answer 2

ThereforeSince 35% of the student plays a sport

Since there are 100 students in the group

Therefor there are 35 students in this group play sport

`(35)/(100)*100=35`

In at least we will subtract who can play from 100%

So let us find the probability that 1 of the 2 students not play