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ahrayia [7]
3 years ago
5

Dawn and abed each roll a standard die obtaining a random number from 1 to 6. if the probability that dawns number is larger tha

n abeds number can be expressed by a/b in simplest form, compute a + b.
Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

a+b = 12

Step-by-step explanation:

There are 36 possible outcomes for rolling two dice. Let A be the number rolled by Abed and D be the number rolled by Dawn. The sample space, in the format [A,D], of all of the possibilities in which Dawn's number is larger is:

[5,6]

[4,5] [4,6]

[3.4] [3,5] [3.6]

[2,3] [2.4] [2,5] [2.6]

[1,2] [1,3] [1.4] [1,5] [1.6]

There are 15 ways out of 36 possible ways of Dawn getting the higher number. In the simplest form:

\frac{15}{36}=\frac{5}{12}=\frac{a}{b}\\ a+b = 5+12 = 17

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