F.5 MATHS probability

3. The following table shows the age groups and genders of 75 passengers on a bus. Age group GenderChildAdultSenior citizenTotalMale6211340Female8161135(a) A passenger is chosen at random from these 75 passengers.(i) Find the probability that the passenger chosen is a senior citizen.(ii) Find the probability that the passenger chosen is a female senior citizen.(iii) Find the probability that the passenger chosen is a female or a senior citizen.(iv) Given that the passenger chosen is a senior citizen, find the probability that the passenger chosen is female.
(b) Three passengers are chosen at random from these 75 passengers.(i) Find the probability that the three passengers chosen are female.(ii) Find the probability that the three passengers chosen are of the same gender.