Question

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

Answer 1

Answer:

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

Step-by-step 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:

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

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

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