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From set S = {1, 2, 3, 4, 5, 6} three nu...

From set S = {1, 2, 3, 4, 5, 6} three numbers are drawn without replacement.
Statement-1 : The probability that second number is greater than first is `1/2`
Statement-2 : The probability that numbers are in increasing A.P. is `7/60`.
Statement-3 : The probability that numbers are in ascending order is `1/6`.

A

FFF

B

TTF

C

TFT

D

FFT

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Two numbers are chosen from {1, 2, 3, 4, 5, 6, 7, 8} one after another without replacement. Then the probability that

    A
    the smallest value of two is less than 3 is `13//28`
    B
    the bigger value of two is more than 5 is `9//14`
    C
    product of two number is even is `11//14`
    D
    none of these

  • Three numbers are chosen at random (without replace ment) from the numbers 1, 2,... 20. The probability that the numbers are not consecutive are

    A
    `3/190`
    B
    `7/190`
    C
    `171/190`
    D
    `187/190`

  • Three numbers are chosen at random without replacement from {1,2,…..8} the probability that their minimum is 3 given that their maximum is 6 is

    A
    (3/8)
    B
    (1/5)
    C
    (1/2)
    D
    (2/3)