Question

At a high school 20% of the students were absent with the flu. if four students from the school are selected at random, what is the probability that none of them has the flu?

Answer 1

To find the probability that none of the four students has the flu, calculate (0.80)^4 which equals 0.4096 or 40.96%.

Step-by-step explanation:

The question is about calculating the probability that none of the four randomly selected students from a high school are absent due to the flu, given that 20% of the students were absent with the flu. To solve this, we need to find out the probability of one student not having the flu, which is 1 - 0.20 (or 80%), and then raise this to the fourth power for the four independent selections.

The probability P that none of the four students has the flu is given by P = (0.80)^4. After calculating this, P = 0.4096 or 40.96%.