Get those Brains going…..

Roger keeps ten pairs of socks in a drawer, five black and five white. If it is so dark in the room that he cannot see at all, how many socks does Roger have to take out of the drawer in order to have two socks that match?

5 thoughts on “Get those Brains going…..”

  1. Well.. he would have a one in two chance of getting a white..
    and a one in two chance in getting a black..

    so

    (If SOCKGOT = WHITE) and (If NextSOCKGOT = WHITE) Than Pair = True
    (If SOCKGOT = WHITE) and (If NextSOCkGOT = BLACK) Than Pair = False
    (If SOCKGOT = BLACK) and (If NextSOCKGOT = BLACK) Than Pair = True
    (If SOCKGOT = BLACK) and (If NextSOCKGOT = WHITE) Than Pair = False

    So in those chances you have a 50% Chance of getting a pair in the first two tries.

    In the two FALSE conditions..
    (If SOCKGOT = WHITE) and (If NextSOCkGOT = BLACK) Than Pair = False
    (If SOCKGOT = BLACK) and (If NextSOCKGOT = WHITE) Than Pair = False

    We can take those down further….

    (If SOCKGOT = WHITE) and (If NextSOCkGOT = BLACK) and (If NextNextSOCK = WHITE) Than Pair = True

    (If SOCKGOT = BLACK) and (If NextSOCKGOT = WHITE) and (If NextNextSOCK = BLACK) Than Pair = False
    BUT WAIT!… SOCKGOT and NextNextSOCK both have values of BLACK so pair = TRUE !!!

  2. ok.. well rodger grabs a sock.. say it’s white..
    1white
    and then he grabs a black sock.. now he has
    1 black
    1 white
    and he grabs a white
    1 black
    2 white.. A Pair!

    or
    he might have grabed a black
    2 black.. A Pair!
    1 white

  3. The actual answer is that the only thing Roger needs to do is take three socks out of the drawer. Because of the odds, two of them will be the same color and he will have a match.

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