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The probability that a man will be alive for $10$ more years is 14 and the probability that his for wife will alive for $10$ more years is13 the probability that none of them will be alive for $10$ more years, is:

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Important Questions on Probability

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In a lottery $10000$ tickets are sold and ten prizes are awarded. What is the probability of not getting a prize, if you buy one ticket?
 
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Two persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 14 and 16 respectively, then the probability that none of them is selected, is:
 
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The probabilities of solving a problem by three students A, B and C are 12, 13 and 14 respectively. The probability that the problem will be solved, is
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Out of $13$ applicants for a job, there are $5$ women and $8$ men. It is desired to select $2$ persons for the job. The probability that atleast one of the selected persons will be a woman, is: 
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Five coins are tossed at a time. Then, the probability of obtaining atleast one tail is:
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An urn contains $6$ red, $4$ blue, $2$ green and $3$ yellow marbles. If two marbles are picked at random, what is the probability that both marbles are red?
 
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An urn contains $6$ red, $4$ blue, $2$ green and $3$ yellow marbles. If three marbles are picked at random, what is the probability that two is blue and one is yellow?
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IMPORTANT
An urn contains $6$ red, $4$ blue, $2$ green and $3$ yellow marbles, If four marbles are picked at random, what is the probability that atleast one is blue?