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Question
In a single throw of a pair of different dice, what is the probability of getting (i) a prime number on each dice?
Solution
Total number of outcomes on throwing a pair of dice = 6 × 6 = 36
Let E be the event of getting a prime number on each die.
∴ Favourable outcomes = {(2, 2), (2, 3), (2, 5), (3, 2), (3, 3), (3, 5), (5, 2), (5, 3), (5, 5)}
Number of favourable outcomes = 9
Now,
`P(E)=9/6=1/4`
Thus, the probability of getting a prime number on each die is `1/4`
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