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Expert: - 11/30/2009


Question
QUESTION: hey :)!ok two cubical dice are thrown,one red and one blue. the scores on their faces are added together.determine the probability that a)the total score will be 10 or more given that the red dice is a 6? b) the total score will be 10 or more given that atleast one of the dice shows a 6?

ANSWER: a) If one die is 6, and the total is supposed to be 10, the other die needs to be at least a
10-6=4.  This means the other die could be a 4, 5, or 6.  That is 3 possibilities.
There are 6 ways each die could be rolled, so that makes 6x6=36 possible choices.

The answere, then, is 3 out of 36, or 3/36, or, since 36 is divisible by 3, 1/12.

b) if either die could be a 6, we could have a 4-6, 6-4, 5-6, 6-5, 6-6 - 5 total rolls.
There are 36 total rolls, so that makes 5/36.


---------- FOLLOW-UP ----------

QUESTION: hi. at the back of the book the answer for a) is 1/2 and b)is 5/11!

Answer
I am confident that the answer I gave you is correct.
I reviewed it several times, and am sure of this.

One of three things could have happene:
1) The problem wasn't entered entirely correctly.
2) The wrong answer was looked up in the back (it was for a different page or problem)
3) The writers of the book didn't get a math major to check the answer.

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