Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 7)
7.
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
21
46
25
117
1
50
3
25
Answer: Option
Explanation:

Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

Then, n(S) = Number ways of selecting 3 students out of 25
= 25C3 `
= (25 x 24 x 23)
(3 x 2 x 1)
= 2300.

n(E) = (10C1 x 15C2)
= 10 x (15 x 14)
(2 x 1)
= 1050.

P(E) = n(E) = 1050 = 21 .
n(S) 2300 46

Discussion:
54 comments Page 6 of 6.

Mahesh babu said:   1 decade ago
Because he asked 10 girls (and) 15 boys.

Gnana said:   1 decade ago
I too have same doubt. Can any one clarify this, soon.

Priya said:   1 decade ago
@prabhu.

Even I have the same doubt. Can some intellectual person answer this?

Prabhu said:   1 decade ago
(10C1 x 15C2) why they are multiplying this ?

They should add the value know .. 10 c1 + 15 c2


Post your comments here:

Your comments will be displayed after verification.