In a private housing estate, the adult residents are asked to vote for an upgrading of the gym facil

Question

In a private housing estate, the adult residents are asked to vote for an upgrading of the gym facilities. During the voting, $\frac{3}{4}$ of the female adult residents and $\frac{3}{8}$ of the male adult residents cast their votes. Given that $60$% of the adult residents are female, show that the probability that an adult resident casts a vote is $\frac{3}{5}$.[2] Three adult residents in the estate are randomly chosen after the voting. Find the probability that exactly one of the $3$ residents casts a vote.[2] Given that all three residents cast a vote, find the probability that exactly two are male.[3]

Accepted Answer

(a)0.288 (b)0.140625

2024 TJC H1 Q9

2024 TJC H1 Q9