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Question

If two dice are rolled simultaneously, then what is the probability of getting the LCM of numbers as 6?

A

16
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B

736
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C

29
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D

14
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Solution

The correct option is D
14
Total number of outcomes =36
Favourable outcomes whose LCM is equal to 6 ={(1, 6), (2, 3), (2, 6), (3, 2), (3, 6), (6, 1), (6, 2), (6, 3), (6, 6)}
Number of favorable outcomes = 9
For an event E, Probability P(E)=Number of outcomes favourable to ENumber of all possible outcomes of the experiment

P(LCM=6)=936=14

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