SOLUTION: 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.
(a) The sum of the
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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.
(a) The sum of the numbers is either 7 or 11.
(b) One die shows a 6, and the other is a number less than 4.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
===========================
(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
============================
cheers,
Stan H.
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