Question 527472
A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.
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For these dice problems you should sketch a sample space for yourself.
The sample space is a 6 by 6 rectangle with the sums of pairs as entries.
It looks like:
2,3,4,5,6,7
3,4,5,6,7,8
4,5,6,7,8,9
....
....
7,8,9,10,11,12
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(a) The sum of the numbers is either 7 or 11.
# of ways to succeed: 6+2 = 8
Ans: 8/36 = 2/9
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(b) One die shows a 6, and the other is a number less than 4.
# of ways to succeed: 3
Ans: 3/36 = 1/12
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cheers,
Stan H.