Functional Question Foundation (Statistics 4) For the week beginning ….

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Presentation transcript:

Functional Question Foundation (Statistics 4) For the week beginning ….

Ronan is designing a game. He has two sets of discs laid face down on a table. The first set of five discs are labelled 1, 3, 5, 7, 9. The second set of four discs are labelled 2, 4, 6, 8. Players turn over one disc, at random, from each set and add the numbers together. (a) Complete the table to show all the possible totals (b) What is the probability of getting a total less than six? Answer (1) (c) Ronan uses the game to raise money for charity. Each player pays 20 p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50 p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. (4) (Total 7 marks)

(a) (3), (5), (7), 9, 11 (5), 7, 9, 11, 13 7, 9, 11, 13, 15 9, 11, 13, 15, 17 –1 eeoo (Each error or omission.) B2 - Marks awarded independent of method b) or equivalent B1 - Marks awarded independent of method P(13) = 13/20 implies 15 winners in 100 plays B1 - Marks awarded independent of method (Chocolate costs) £7.50 B1 - Marks awarded independent of method (Takings) 100 × 20 (= £20) B1 - Marks awarded independent of method (Profit) £20 – £7.50 (= £12.50) B1 - Marks awarded independent of method