40% of the students in a college are girls. 5% of the students in the college are cultural club members, 3% students are girls in cultural club. If student is selected at random find probability that the student is a boy given that he is member of culture club
Answers
Given : 40% of the students in a certain college are girls . 5% of the students in this college are cultural club members , 3% students are girls in the culture club.
To find : probability that the student is a boy given that he is member of culture club
Solution:
Let say Total Students = 100
40 % Girls = 40
Boys = 100 - 40 = 60
Member of culture club = 5
Girls in culture club = 3
Boys in culture club =2
probability of The student is a boy given that he is a member of culture club.
= Boys in Culture club / total Members of culture club
= 2/5
2/5 is the probability that the student is a boy given that he is member of culture club
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