# Math Help - Discrete Probability - error with question?

1. ## 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.

2. 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

3. 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.

4. it doesn't matter who tosses the dice
fine P(X=6)=0