Question

A poll showed that 50.3% of Americans say they believe that some people see the future in their dreams. What is the probability of randomly selecting someone who does not believe that some people see the future in their dreams.

Answer 1

Answer: 0.497

Explanation:

Let A be the event that Americans believe that some people see the future in their dreams.

Then , the probability that Americans believe that some people see the future in their dreams is given by :-

`P(A)=50.3\%=0.503`

We know that the complement of a event X is given by :-

`P(X')=1-P(X)`

Hence, the probability of randomly selecting someone who does not believe that some people see the future in their dreams is

`P(A')=1-P(A)\\\\=1-0.503=0.497`

Answer 2

The probability of randomly selecting someone who does not believe that some people see the future in their dreams =0.497.

Explanation:

Given

Percent of Americans who Say they believe that some people see the future in their dreams=50.3%

Total percentages=100%

Therefore, Number of americans who say they believe that some people see the future in their dreams=50.3

The probability of randomly selecting someone who say they believe that some people see the future in their dreams =
`(50.3)/(100)`

Hence, the probability of randomly selecting someone who believe that some people see the future in their dreams, P(E)=0.503

Now, the probability of randomly selecting someone who does not believe that some people see the future in their dreams ,P(E')= 1-P(E)

The probability of randomly selecting someone who does not believe that some people see the future in their dreams =1-0.503

Hence,the probability of randomly selecting someone who does not believe that some people see the future in their dreams=0.497.