# Discrete Probability - error with question?

• Dec 3rd 2010, 09:39 PM
cyt91
Discrete Probability - error with question?
1. The problem statement, all variables and given/known data
On a long train journey, a statistician is invited by a gambler to play a dice game. The game uses 2 unbiased ordinary dice which the statistician is to throw. If the total score is 12, the statistician is paid 3 dollars by the gambler. However,if both or either dice show a '1', the statistician pays the gambler 2 dollars.

Let X= amount paid to the statistician by the gambler after the dice are thrown once.

Determine the probability that X=6,X=3 and X=-2.

I have one question...how do we determine the probability that X=6 since the question states that the statistician is paid 3 dollars by the gambler if the total score is 12 and X is the amount paid to the statistician after the dice are thrown once?

There's an error with the question isn't it? I need a second opinion on this. Thank you.
• Dec 3rd 2010, 10:00 PM
matheagle
many questions.....
1) what is "total score" is that the sum of two tosses, by both players?
2) do you repeatedly play this game? then \$3-\$2 is one dollar, so you can win \$6 eventually

maybe the 6 is a zero, then AFTER one play
P(X=3)=P(X=-2)=1/36 and P(X=0)=17/18
• Dec 4th 2010, 05:42 AM
cyt91
How do you find the probability of X=6?
And the question states that X is the amount paid to the statistician in after the dice are thrown....once?
The question also states that the dice are to be thrown by the statistician not both players.
• Dec 4th 2010, 07:59 AM
matheagle
it doesn't matter who tosses the dice
fine P(X=6)=0