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A problem is given to three students, wh...

A problem is given to three students, whose chances of solving it are `(1)/(5),(1)/(7)` and `(1)/(3)` respectively .
find the probability that exactly one of them may solve the problem .

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The correct Answer is:
`(7)/(15)`
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BETTER CHOICE PUBLICATION-PROBABILITY-Previous year Board.s questions for practice
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  4. Two bags contain 6 red and 4 black, 2 red and 6 black balls. One ball ...

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  5. An unbiased coin is thrown thrice. If the random variable X denotes th...

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  6. A coin is tossed 4 times. X is the number of heads observed. Find the ...

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  7. Two cards are drawn (without replacement) from a well shuffled deck of...

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  8. Four dice are thrown simultaneously. If the occurrence of 2, 4 or 6 in...

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  9. In four throws with a pair of dice, what is probability of throwing do...

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  10. Find the probability distribution of number of doublets in three throw...

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  11. A problem is given to three students whose chances of solving it are (...

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  12. A problem of mathematics is given to three students whose chances of s...

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  13. one bag contains 6 white and 5 black balls. Another bag contains 5 whi...

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  14. A bag 'A' contains 5 red and 7 blue balls, while the other bag 'B' con...

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  15. Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...

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  16. A die is thrown twice and the sum of the numbers appearing is observed...

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  17. A die is thrown. If E is the event ‘the number appearing is a multiple...

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  18. Given that the two numbers appearing on throwing two dice are differen...

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  19. If a fair of coin is tossed 10 times, find the probability of : (i) ...

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  20. In a single throw of three dice, determine the probability of getting ...

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