The Venn diagram below shows three events AAA, B B\,B and CCC, with probabilities as marked, where q=P(A∩C)q = P(A \cap C)q=P(A∩C).
The events A A\,A and C C\,C are mutually exclusive, and the events A A\,A and B B\,B are independent.
Write down the value of qqq, giving a reason.
Find the value of ppp.
Find the value of rrr.