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Q.

The probability that a person will get an electric contract is 25 and the probability that he will not get plumbingcontract is 47.If the probability of getting at least one contract is 23,  the probability that he will get both the contracts is k , then 105k is

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answer is 17.

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Detailed Solution

P(E)=25;P(F)=P( plumbing )=1−47=37P(E∪F)=P(E)+P(F)−P(E∩F)23=25+37−k⇒k=17105
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The probability that a person will get an electric contract is 25 and the probability that he will not get plumbingcontract is 47.If the probability of getting at least one contract is 23,  the probability that he will get both the contracts is k , then 105k is