Mathematics (Syllabus D) 4024 · Question 1Paper 2 · Calculator[8 marks]
A school activity club has 40 members. 22 members play Chess, 14 members play Scrabble, and 8 members play both games.
(a)[2]
Find the number of members who play neither game.
(b)[2]
A club member is chosen at random. Find the probability that the member plays Scrabble but not Chess.
(c)[2]
Two members are chosen at random with replacement. Find the probability that both members play Chess. Give your answer as a simplified fraction.
(d)[2]
Explain why the events "plays Chess" and "plays Scrabble" are not mutually exclusive.