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Two integers are chosen at random and mu...

Two integers are chosen at random and multiplied. Find the probability that the product is an even integer.

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The correct Answer is:
`(2)/(3)`
If both integers are even, product is even. If both integers are odd, then product is odd. If one integer is odd and other is even, then product is even. Therefore, the required probability is `2//3`.
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CENGAGE PUBLICATION-PROBABILITY I -Exercise 9.2
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  2. There are n letters and n addressed envelopes. Find the probability...

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  3. Find the probability of getting total of 5 or 6 in a single throw o...

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  4. Two integers are chosen at random and multiplied. Find the probabil...

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  5. If out of 20 consecutive whole numbers two are chosen at random, th...

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  6. A bag contains 3 red, 7 white, and 4 black balls. If three balls ar...

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  7. An ordinary cube has 4 blank faces, one face mark 2 and another marke...

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  8. If the letters of the word REGULATIONS be arranged at random, find t...

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  9. A five digit number is formed but the digits 1,2,3,4,5 without repetit...

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  10. Five persons entered the lift cabin on the ground floor of an 8-floor ...

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  11. Two friends Aa n dB have equal number of daughters. There are three ci...

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  12. about to only mathematics

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  13. There are eight girls among whom two are sisters, all of them are to s...

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  14. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are d...

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  15. A pack of 52 cards is divided at random into two equals parts. Find th...

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  16. If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6...

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  17. If two distinct numbers m and n are chosen at random form the set {1, ...

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  18. Two number a and b are chosen at random from the set of first 30 natur...

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  19. Twelve balls are distributed among three boxes, find the probability ...

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