Age 14 to 16 Challenge Level:
First the coins :
Imagine the four coins in a line, for example T H H H.
How many arrangements like this are there?
How many would win the $£3$?
If you played the game a specified number of times how much do you
think you might have as profit or loss?
How much would that be on average per game?
Now the dice :
You could get $3$ sixes, what else could you get?
If you got $3$ sixes, how much would you win?
How often might you expect that to happen?
What about an overall expected profit or loss in the long