Asked by Edmund
In a game you roll two fair dice. If the sum of the two numbers obtained is 3,4,9,10 or 11 you win $20. If the sum is 5,6,7 or 8 you pay $20. However if the scores on the dice are the same no one is required to pay.
(a) Construct a probability distribution table for the event
(b) Determine the expected outcome of this game. Is it fair?
(c) What should your winnings be for the game to be fair?
(a) Construct a probability distribution table for the event
(b) Determine the expected outcome of this game. Is it fair?
(c) What should your winnings be for the game to be fair?
Answers
Answered by
PsyDAG
I will start it for you. Most numbers can be obtained in more than one way. 2 and 12, the only no pay numbers, can only be obtained one way.
3 = 2,1 or 1,2 = 2 ways
4 = 2,2 or 3,1 or 1,3 = 3 ways
5 = 3,2 or 2,3 or 1,4 or 4,1 = 4 ways
etc.
3 = 2,1 or 1,2 = 2 ways
4 = 2,2 or 3,1 or 1,3 = 3 ways
5 = 3,2 or 2,3 or 1,4 or 4,1 = 4 ways
etc.