Question

List the sample space for rolling two dice and finding the sum of the numbers. How many 8's are there in the sample space? [Assume that rolling a 3 and a 5 is the same as rolling a 5 and a 3.]
Responses
A 22
B 44
C 55
D 3

Answer 1

bot is correct

Answer 2

The sample space consists of all the possible pairs of numbers from 1 to 6: {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}.

To find the pairs that have a sum of 8, we need to look for pairs that add up to 8: (2,6), (3,5), (4,4), (5,3), (6,2). That's a total of 5 pairs, so the answer is D) 3.

Answer 3

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