Two dice are rolled simultaneously find the probability of getting a sum which is a multiple of 3
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Answer:
When two dice are rolled, we have n(S) = (6 6) = 36.
getting
a multiple of 3 as the sum:
Let
E8 = event of getting a multiple of 3 as the sum. The events of a multiple of 3
as the sum will be E8 = [(1, 2), (1, 5), (2, 1), (2, 4), (3, 3), (3, 6), (4,
2), (4, 5), (5, 1), (5, 4), (6, 3) (6, 6)] = 12
Therefore,
probability of getting a multiple of 3 as the sum
P(E8)=
Totalnumberofpossibleoutcome
Numberoffavorableoutcomes
=12/36
=1/3
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1 / 3 pls mark as brilliant
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