Question

a poll showed that 48.2% of americans say they believe that some people see the future in their dreams. what is the probability (in percent form) of randomly selecting someone who does not believe that some people see the future in their dreams. probability = % (please round your answer to one decimal place.)

Explanation:

Step1: Recall probability rule

The sum of the probability of an event happening and the probability of it not happening is 100%. Let $P(A)$ be the probability of believing and $P(\overline{A})$ be the probability of not - believing. Then $P(A)+P(\overline{A}) = 100\%$.

Step2: Calculate the probability of not believing

We know that $P(A)=48.2\%$. So $P(\overline{A})=100\% - P(A)$. Substitute $P(A) = 48.2\%$ into the formula: $P(\overline{A})=100 - 48.2$.
$P(\overline{A}) = 51.8\%$

Answer:

51.8%