GATE Electrical Engineering (EE) 2018 Solved Paper

Question : 10 of 65

Marks: +1, -0

A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?

0
$\;{325}/{864}$
$\;{525}/{864}$
$\;{5}/{12}$
None of the above

Validate

Solution:

There are

7 {B}

and

5 {G}

Through as question is stating 3 students are taken at random.
This can be a possible way to approach it.

G	B
2	1
3	0

=\;{{ }^{5} C_{2}+{ }^{7} C_{1}+{ }^{5} C_{3}+{ }^{7} C_{0}}/{{ }^{12} C_{3}}

=\;{10 × 7+10 × 1}/{{12 × 10 × 11}/{6}}=\;{80}/{220}=\;{4}/{11} ≈ 0.3636

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