Question

B) The game is used in a school to raise money for charity.

Each player pays 20p to play the game.
To win a lollipop players have to score exactly 7.
Each lollipop costs the school 30p.
How much should the school expect to raise for charity
if 120 people play the game?

Answer 1

£15

Explanation:

First lets find out how much the school earns when 120 play the game.

20p=£0.20 pounds

120 x 0.2= £24 that the school earns

Now to find how much the school needs to pay.

There are 3 out of 12 spaces on the possibility space that are 7's so 3/12 win which simplifies to 1/4.

1/4 of 120= 30 people who win the game

30p=£0.30 pounds

30 x 0.3= £9

What the school earns for people playing the game - money spent on lollipops= money raised for charity

£24-£9=£15

So the answer is £15. Hope this helps and is clear enough.

Answer 2

The answer is "1500p".

Explanation:

The given probability is = 7. so, it is
`(3)/(12) \ = (1)/(4)`

It implies, that only if
`120` people enjoy the sport, its school will gather

`\ 120 * \ 20\ p = \ 2400 \ p`

But,
`(1)/(4)` its side will survive = 30 people, as well as the school would have to invest
`\ 30 * \ 30p \ = \ 900p`

for lollipops So, the school will collect =
`2400 - 900 = 1500p`