Question

James has organised a game to raise money for charity at a local fair. He rolls a fair six sided dice and flips a fair coin. If the coin lands on heads, the number on the dice is squared. If the coin lands on tails, the number on the dice is cubed. Each person pays 50p to play. If they score above 30, they win £1 The game is played 450 times. How much money does James raise for charity?​

Answer 1

The total amount that was raised for charity is £75.

What is the total amount raised?

Here is the sample space

                  1               2            3            4            5           6

Heads        1               4            9           16            25        36

Tails           1               8            27          64           125        216

Probability of getting a number greater than 30 = 4/12 = 1/3

1/3 x 450 = 150

Total value of people getting more than 30 : 150 x £1 = £150

Total amount paid = 50 x 450 = £225

Amount raised = £225 - 150 = £75

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