Question

In a sample study of $642$people, it was found that $514$people have a high school certificate. If a person is selected random, the probability that the person has high school certificate is:
A. \[0.5\]
B. $0.6$
C. $0.7$
D.$0.8$

Answer 1

Hint: We have given the total number of people is$642$. And it was found that $514$ people have a high school. So, this is a favorable outcome. Therefore, we will use the formula of $p(E) = \dfrac{{favourable\,\,outcome}}{{total\,\,number\,\,of\,\,outcome}}$ to find the desired result.


Complete step by step solution:
In a sample study of people $ = 642$
So, total number of people $ = 642$
It was found that $514$people have a high school certificate.
Then, favorable outcome $ = 514$
Then, we will use the formula of probability.
$P(E) = \dfrac{{favourable\,\,outcome}}{{total\,\,number\,of\,\,outcome}}$
Then,
P(the person has a high school certificate)
$P$(The person has a high school certificate)$ = \dfrac{{51}}{{642}}$
$P$(The person has a high school certificate) $ = \dfrac{{257}}{{321}}$
P(The person has a high school certificate) $ = 0.8006~0.8$
Therefore, P(The person has a high school certificate) $ = 0.8$
Hence, the correct option is D.


Note: Students must keep in mind that the value of any probability always lies between $0\,\,and\,\,1$. So , the answer will be less than or equal to $4$.