Can you please help us with this statistics problem? I am reviewing for the exam?

Tossing two dice
Some games of chance rely on tossing two dice. Each die has six faces, marked with 1, 2, . . . , 6 spots called pips. The dice used in casinos are carefully balanced so that each face is equally likely to come up. When two dice are tossed, each of the 36 possible pairs of faces is equally likely to come up. The outcome of interest to a gambler is the sum of the pips on the two up-faces. Call this random variable .
Reference: 4.56

4.56b One bet available in craps wins if a 7 or an 11 comes up on the next roll of two dice.
What is the probability of rolling a 7 or an 11 on the next roll?
Give your answer to 3 decimal places.

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1 Comment »

  1. Michael W Says:

    Of the 36 dice rolls, there are 6 ways to make a 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1). And there are 2 ways to make an 11 (5+6 and 6+5).

    So 8 possibilities of the 36 are winners. 8/36 on your calculator.

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