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Probability 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. Ronan uses the game to raise money for charity. Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Choose level of difficulty Probability Help Step 1: 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. Fill in sample space diagram. Two discs are added together so we must draw a sample space diagram. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Help Step 2: Work out the probability of getting exactly 13. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. How many possible numbers are there? How many 13’s are there? 5 7 9 11 5 7 9 11 13 7 9 11 13 15 9 11 13 15 17 Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Help Step 3: Work out how much money he takes. 100 people play the game each paying 20p. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Help Step 4: Work out how many people you expect to win. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Probability of winning = 3 20 Probability of winning multiplied by number of players. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Number of winners = 15 Help Step 5: Work out cost of prizes. Number of winners multiplied by cost of prize. Probability If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Help Step 6: Cost of prizes = £7.50 Work out money raised. Cost of prizes subtracted from money taken. Money taken = £20 End of Problem Return to Menu Probability Help Step 1: 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. Fill in sample space diagram. Two discs are added together so we must draw a sample space diagram. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Help Step 2: Work out the probability of getting exactly 13. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. How many possible numbers are there? How many 13’s are there? 5 7 9 11 5 7 9 11 13 7 9 11 13 15 9 11 13 15 17 Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Help Step 3: Work out how much money he takes. 100 people play the game each paying 20p. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Help Step 4: Work out how many people you expect to win. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Probability of winning = 3 20 Probability of winning multiplied by number of players. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Number of winners = 15 Help Step 5: Work out cost of prizes. Number of winners multiplied by cost of prize. Probability If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Help Step 6: Cost of prizes = £7.50 Work out money raised. Cost of prizes subtracted from money taken. Money taken = £20 End of Problem Return to Menu Probability 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. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. 5 7 9 11 5 7 9 11 13 7 9 11 13 15 9 11 13 15 17 Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Probability of winning = 3 20 Probability Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. Number of winners = 15 Probability If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Cost of prizes = £7.50 Money taken = £20 End of Problem Return to Menu Probability Ronan is designing a game. He has two sets of discs laid face down on a table. Hint Fill in the grid 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. Probability Ronan is designing a game. He has two sets of discs laid face down on a table. Hint Probability and takings? 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. Ronan uses the game to raise money for charity. Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. Probability Ronan is designing a game. He has two sets of discs laid face down on a table. Hint Costs? 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. Ronan uses the game to raise money for charity. Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. End of Problem Return to Menu Probability Ronan is designing a game. He has two sets of discs laid face down on a table. Hint Use the grid below 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. Ronan uses the game to raise money for charity. Each player pays 20p to play the game. If a player gets a total of exactly 13 they win a bar of chocolate. It costs Ronan 50p for each bar of chocolate. If 100 people play the game, show that Ronan should expect to raise £12.50 for charity. End of Problem Return to Menu