Mathematics (AS & A Level) · May / June 2019 · Paper 61 · Question 6

At a funfair, Amy pays $1 for two attempts to make a bell ring by shooting at it with a water pistol. ³ If she makes the bell ring on her first attempt, she receives $3 and stops playing. This means that overall she has gained $2. ³ If she makes the bell ring on her second attempt, she receives $1.50 and stops playing. This means that overall she has gained $0.50. ³ If she does not make the bell ring in the two attempts, she has lost her original $1. The probability that Amy makes the bell ring on any attempt is 0.2, independently of other attempts.

Read automatically from the paper; the printed page above is exact.