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OT: Probability of getting specific dobule in two rolls of the dice

Posted By: Bob Koca
Date: Monday, 1 August 2011, at 7:49 p.m.

In Response To: OT: Probability of getting specific dobule in two rolls of the dice (leobueno)

Instead of making a tree like that I think the following is simpler.

Call the dice A and B. What is the chance of die A landing as a 6 at least once if you roll it twice? If you play backgammon you might recognize this is as being the same chance of entering a checker vs a 5 point board and know it is 11/36. You could also determine that from first principles of course.

Similarly there is a 11/36 chance of die B landing as a 6 at least once if you toss it twice.

The chance of both happening is (11/36)^2 = 121/1296 (approx. .093)

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