Probability 1 Question 8

8. Three boys and two girls stand in a queue. The probability that the number of boys ahead of every girl is atleast one more that the number of girls ahead of her, is (2014 Adv)

(a) 1/2

(b) 1/3

(c) 2/3

(d) 3/4

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Answer:

Correct Answer: 8. (a)

Solution:

  1. Total number of ways to arrange 3 boys and 2 girls are 5 !.

According to given condition, following cases may arise.

B G G B B
G G B B B
G B G B B
G B B G B
B G B G B

So, number of favourable ways =5×3!×2!=60

Required probability =60120=12



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