Choose level of difficulty Ronan is designing a game. He has two sets of discs laid face down on a...
23
Probability Choose level of difficulty 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.
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Transcript of Choose level of difficulty Ronan is designing a game. He has two sets of discs laid face down on a...
ProbabilityChoose level of difficultyRonan 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, 9The 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.
ProbabilityHelp
Step 1: Fill in sample spacediagram.
Two discs are added together so we must draw a sample space diagram.
The first set of five discs are labelled 1, 3, 5, 7, 9The 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.
ProbabilityHelp
Step 2: Work out theprobability ofgetting exactly 13.
How many possible numbers are there?How many 13’s are there?
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
5 7
9
11
7
9
9
9 11
13
15
11
13
117
13
15
17
ProbabilityHelp
Step 3: Work out how much money he takes.
100 people play the game each paying 20p.
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.
ProbabilityHelp
Step 4: Work out how many people you expect to win.
Probability of winning multiplied by number of players.
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 = 20
3
ProbabilityHelp
Step 5: Work out cost of prizes.
Number of winners multiplied by cost of prize.
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
ProbabilityHelp
Step 6: Work out money raised.
Cost of prizes subtracted from money taken.
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 ProblemReturn to Menu
ProbabilityHelp
Step 1: Fill in sample spacediagram.
Two discs are added together so we must draw a sample space diagram.
The first set of five discs are labelled 1, 3, 5, 7, 9The 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.
ProbabilityHelp
Step 2: Work out theprobability ofgetting exactly 13.
How many possible numbers are there?How many 13’s are there?
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
5 7
9
11
7
9
9
9 11
13
15
11
13
117
13
15
17
ProbabilityHelp
Step 3: Work out how much money he takes.
100 people play the game each paying 20p.
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.
ProbabilityHelp
Step 4: Work out how many people you expect to win.
Probability of winning multiplied by number of players.
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 = 20
3
ProbabilityHelp
Step 5: Work out cost of prizes.
Number of winners multiplied by cost of prize.
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
ProbabilityHelp
Step 6: Work out money raised.
Cost of prizes subtracted from money taken.
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 ProblemReturn to Menu
Probability
The first set of five discs are labelled 1, 3, 5, 7, 9The 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.
ProbabilityEach 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
5 7
9
11
7
9
9
9 11
13
15
11
13
117
13
15
17
ProbabilityEach 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.
ProbabilityEach 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 = 20
3
ProbabilityEach 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
ProbabilityIf 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 ProblemReturn to Menu
ProbabilityRonan 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, 9The 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
ProbabilityRonan 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, 9The 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?
ProbabilityRonan 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, 9The 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?
End of ProblemReturn to Menu
ProbabilityRonan 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, 9The 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
End of ProblemReturn to Menu
