Multiple Choice A survey of high school juniors found that 82% of students plan on attending college. If you pick three students at random, what is the probability that at least two plan on attending college? Round to the nearest percent. (1 point) Responses 91% 91% 9% 9% 45% 45% 36%
To find the probability that at least two out of three students plan on attending college, we need to calculate the probability of exactly two students and all three students planning on attending college.
Probability of exactly two students planning on attending college:
P(2 students) = (0.82)^2 * (0.18)
= 0.5752
Probability of all three students planning on attending college:
P(3 students) = (0.82)^3
= 0.5514
Now, add the probabilities together to find the total probability:
P(at least 2 students) = P(2 students) + P(3 students)
= 0.5752 + 0.5514
= 1.1266
Therefore, the probability that at least two out of three students plan on attending college is approximately 113%. Since probabilities are usually expressed as percentages from 0% to 100%, we need to round this probability to 100%.
The answer is 91%, the closest option to 100%.