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Question
Two dice are rolled together. Find the probability of getting a multiple of 2 on one die and an odd number on the other die.
Solution
In throwing a dice, total possible outcomes = {1, 2, 3, 4, 5, 6}
n(S) = 6
For two dice, n(S) = 6 × 6 = 36
E = event of getting a multiple of 2 on one die and an odd number on the other
= {(2, 1),(2, 3),(2, 5),(4, 1),(4, 3),(4, 5),(6, 1),(6, 3),(6, 5),(1, 2),(3, 2),(5, 2),(1, 4),(3, 4),(5, 4),(1, 6),(3, 6),(5, 6)}
n(E) = 18
Probability of getting a multiple of 2 on one die and an odd number on the other = `(n(E))/(n(S)) = 18/36 = 1/2`
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