Solution
- The probability that it rains in one day is:
[tex]p(1)=\frac{75}{100}=0.75[/tex]
- The probability that it rains everyday implies that we can use the AND probability to solve the question.
- Thus, we have:
[tex]\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)\times P(B) \\ \\ \text{ Thus,} \\ P(rains\text{ }everyday)=0.75\times0.75\times0.75\times0.75\times0.75 \\ \\ P(rains\text{ }everyday)=0.237304...\approx0.2373 \end{gathered}[/tex]
Final Answer
The answer is 0.2373
