A class of twenty four pupils consists of $11$ girls and $13$ boys. To form the class committee,

Question

A class of twenty four pupils consists of $11$ girls and $13$ boys. To form the class committee, four of the pupils are chosen at random as “Chairperson”, “Vice Chairperson”, “Treasurer” and “Secretary”. Find the probability that the committee will consist of at least one girl and at least one boy.[3] Find the probability that the “Treasurer” and “Secretary” are both girls.[3]

Accepted Answer

(i) $\frac{871}{966}$ (ii) $\frac{55}{276}$

2016 IJC P2 Q7

2016 IJC P2 Q7

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