Question

On a five day vacation the forecast is a 75% chance of rain every day what is the probability that it rains every day enter fraction around the answer to four decimal places

Answer 1

- The probability that it rains in one day is:

`p(1)=(75)/(100)=0.75`

- The probability that it rains everyday implies that we can use the AND probability to solve the question.

- Thus, we have:

`\begin{gathered} \text{ The probability that Event A AND B occur is governed by the AND probability} \\ P(A\text{ }AND\text{ }B)=P(A)* P(B) \\ \\ \text{ Thus,} \\ P(rains\text{ }everyday)=0.75*0.75*0.75*0.75*0.75 \\ \\ P(rains\text{ }everyday)=0.237304...\approx0.2373 \end{gathered}`

Final Answer

The answer is 0.2373