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

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`