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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.

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Probability

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  1. 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

  2. The first set of five discsare labelled 1, 3, 5, 7, 9 The second set of four discsare labelled 2, 4, 6, 8 Players turn over one disc, at random, from each set and add the numbers together. Help Step 1: Fill in sample space diagram. Two discs are added together so we must draw a sample space diagram. Probability

  3. 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 2: Work out the probability of getting exactly 13. How many possible numbers are there? How many 13’s are there? Probability 5 7 9 11 7 11 13 5 9 7 9 11 13 15 9 11 13 15 17

  4. 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

  5. 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 = Help Step 4: Work out how many people you expect to win. Probability of winning multiplied by number of players. Probability

  6. 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

  7. 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 Help Step 6: Work out money raised. Cost of prizes subtracted from money taken. Probability End of Problem Return to Menu

  8. 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. Help Step 1: Fill in sample space diagram. Two discs are added together so we must draw a sample space diagram. Probability

  9. 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 2: Work out the probability of getting exactly 13. How many possible numbers are there? How many 13’s are there? Probability 5 7 9 11 7 11 13 5 9 7 9 11 13 15 9 11 13 15 17

  10. 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

  11. 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 = Help Step 4: Work out how many people you expect to win. Probability of winning multiplied by number of players. Probability

  12. 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

  13. 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 Help Step 6: Work out money raised. Cost of prizes subtracted from money taken. Probability End of Problem Return to Menu

  14. The first set of five discsare labelled 1, 3, 5, 7, 9 The second set of four discsare labelled 2, 4, 6, 8 Players turn over one disc, at random, from each set and add the numbers together. Probability

  15. 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 5 7 9 11 7 11 13 5 9 7 9 11 13 15 9 11 13 15 17

  16. 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

  17. 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 = Probability

  18. 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

  19. 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 Probability End of Problem Return to Menu

  20. 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. Hint Fill in the grid Probability

  21. 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. Hint Probability and takings? Probability

  22. 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. Hint Costs? Probability End of Problem Return to Menu

  23. 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. Hint Use the grid below Probability End of Problem Return to Menu

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