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Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice.
Answer & Solution
Correct Answer:
Option
B
Let X be required events and S be the sample space
then X = {(2, 3), (2, 6), (4, 3), (4, 6), (6, 3), (6, 6), (3, 2), (6, 2), (3, 4), (6, 4), (3, 6)}
n(X) = 11, n(S) = 36
Hence, required probability
$$\eqalign{ & = \frac{{n(X)}}{{n(S)}} \cr & = \frac{{11}}{{36}} \cr} $$
then X = {(2, 3), (2, 6), (4, 3), (4, 6), (6, 3), (6, 6), (3, 2), (6, 2), (3, 4), (6, 4), (3, 6)}
n(X) = 11, n(S) = 36
Hence, required probability
$$\eqalign{ & = \frac{{n(X)}}{{n(S)}} \cr & = \frac{{11}}{{36}} \cr} $$
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