These questions are about probability. Can you please show full working out and the methods used to solve the question be of Year 11 level. This probability chapter involves the topics of conditional probability, permutations and combinations, Pascal's triangle and binomial expansions. Where possible, please write the reasoning for using that specific approach.

Question 1: A certain college has 500 students. It is found that 20% are left handed and 40% wear glasses. It is also known that 52% of the right handed students do not wear glasses. One student is selected at random. Find the probability that the student is left handed if they do not wear glasses.

Question 2: A six-person committee is to be chosen from 5 women and 7 men. The committee is to have an equal number of men and women. Find the probability that a particular man and his wife are both on the committee.

Question 3 (img):

Given that Pr ( A) = and Pr ( B) and Uil Pr ( A/ B) = find Pr( A'n B')