8. if a weather forecaster predicts that the chance of rain is 25%, what is the probability that it will not…

8. if a weather forecaster predicts that the chance of rain is 25%, what is the probability that it will not rain?\na. 0%\nb. 25%\nc. 50%\nd. 75%

8. if a weather forecaster predicts that the chance of rain is 25%, what is the probability that it will not rain?\na. 0%\nb. 25%\nc. 50%\nd. 75%

Answer

Explanation:

Step1: Recall probability rule

The sum of the probability of an event happening and not - happening is 100% or 1. Let $P(R)$ be the probability of rain and $P(\neg R)$ be the probability of no - rain. Then $P(R)+P(\neg R)=100%$.

Step2: Substitute given value

We know that $P(R) = 25%$. So, $P(\neg R)=100% - P(R)$. $P(\neg R)=100% - 25%$. $P(\neg R)=75%$.

Answer:

D. 75%