### Probability 1 - Suffolk Maths

```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
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
Fill in sample space
diagram.
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
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
Fill in sample space
diagram.
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
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
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
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
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
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
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
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