Suppose the weather forecast calls for a 60% chance of rain each day for the next 3 days. What is the probability that it will NOT rain during the next 3 days

Question

asked May 14, 2021 76.7k views

1 Answer

Goran · Answer 1 · 2021-05-18T02:22:49+0000

Answer:

Probability that it'll not rain during the next three days = 0.064

Explanation:

Given

Let:

P(R) represent the probability that it'll rain each day

P(R') represent the probability that it'll not

$P(R) = 60\%$

Required

Probability that it'll not rain during the next three days

From concept of probability;

P(R) + P(R') = 1

Substitute 60% for P(R)

$60\% + P(R') = 1$

Subtract 60% from both sides

$60\% - 60\% + P(R') = 1 - 60\%$

$P(R') = 1 - 60\%$

Convert % to decimal

P(R') = 1 - 0.6

P(R') = 0.4

The probability that it'll not rain during the next 3 days is:

P(R') * P(R') * P(R')

P(R') * P(R') * P(R') =0.4 * 0.4 * 0.4

P(R') * P(R') * P(R') = 0.064