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    sangadala's Avatar
    sangadala Posts: 1, Reputation: 1
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    #1

    Aug 23, 2010, 08:58 AM
    Probablity
    Five digit numbers are formed with 0,1,2,3,4. find the probablity of getting 2 in ten's place and 0 in the units place always
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Aug 23, 2010, 09:43 AM

    I assume that no digit is used more than once...

    In the ten thousand's place, you can have 1, 2, 3 or 4. (4 possibilities)
    In the thousand's place, you can have 0, 1, 2, 3 or 4. (now, you used one of the 5 above, this becomes 4 possibilities)
    In the hundred's place, you can have 0, 1, 2, 3 or 4. (you used two above, which makes 3 left)
    In the ten's place, you can have 0, 1, 2, 3 or 4. (2 left)
    In the unit's place, you can have 0, 1, 2, 3 or 4. (1 left)

    In all, you have 4x4x3x2x1 = 96 possibilities.

    Now, how many of these contain 2 in the ten's place?
    _ _ _ 2 _

    Applying the same as above, we get: 3x3x2x1 = 18 numbers.

    So, P(2 is in the ten's digit) = 18/96

    Can you do the other one now?

    And then, P(2 is in the ten's digit place and 0 in the units place) = P(2 is in the ten's digit) x P(0 is in the units place)

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