Answer:
Probability that it does not rain during the entire festival = 0.19584
Step-by-step explanation:
We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.
Also, Probability that there may be rain on first day, P(A) = 0.15
Probability that there may be rain on second day, P(B) = 0.10
Probability that there may be rain on third day, P(C) = 0.20
Probability that there may be rain on fourth day, P(D) = 0.20
Probability that there may be rain on fifth day, P(E) = 0.60
It is also provided that these probabilities are independent of whether it rained on the previous day or not.
Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
= (1 - P(A)) (1 - P(B)) (1 - P(C)) (1 - P(D)) (1 - P(E))
= (1 - 0.15) (1 - 0.10) (1 - 0.20) (1 - 0.20) (1 - 0.60)
= 0.85 0.90 0.80 0.80 0.40 = 0.19584