Probability Question 368
Question: In four schools $ B_1,B_2,B_3,B_4 $ the percentage of girls students is 12, 20, 13, 17 respectively, From a school selected at random, one student is pick up at random and it is found that the student is girl, the probability that the school selected is $ {B_{2,}} $ is
Options:
A) $ \frac{6}{31} $
B) $ \frac{10}{31} $
C) $ \frac{13}{62} $
D) $ \frac{17}{62} $
Show Answer
Answer:
Correct Answer: B
Solution:
Total no. of students in four schools $ =12+20+13+17=62. $
Now, one students is selected at random.
$
\therefore $ Total outcomes $ {{=}^{62}}C_1 $
Now, no, of students in school $ B_2=20. $
No. of ways to select a student form $ B_2{{=}^{20}}C_1. $
$ \therefore $ Required probability $ =\frac{{20_{C_1}}}{{62_{C_1}}}=\frac{20}{62}=\frac{10}{31} $
BETA
