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Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, isA. `1/18`B. `5/18`C. `1/5`D. `2/5` |
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Answer» Let `E_(1)`=Event that the sum of numbers on the dice was less than 6 and `E_(2)`=Event that the sum of numbers on the dice is 3 `thereforeE_(1)`={(1/4),(4,1),(2,3),(3,2),(2,2),(1,3),(3,1),(1,2),(2,1),(1,1)} `rArrn(E_(1))=10` and `E_(2)`={(1,2),(2,1)}`rArrn(E_(2))=2` `therefore` Required probability`=2/10=1/5` |
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