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1 November, 05:40

There are 5 slots, each containing the letters w, r, l, d or o. one letter is picked at random from each slot. what are the odds that the letters stored in these slots read the word world?

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  1. 1 November, 05:42
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    In the first slot lets calculate the chance of getting a w: 1/5

    In the second slot calculate the chance of getting a o: 1/4 (notice how it's 4 not 5 because you already have one letter in the first slot so you have 4 left to choose from.)

    In third slot, chance of getting a r: 1/3

    In fourth slot, chance of getting a l: 1/2

    In the fifth slot, if you got all the first four letters right, than you would be left with one letter, so your chances are 1/1 (100%) for the fifth slot

    To calculate probability multiply all the fractions we got above: 1/5 x 1/4 x 1/3 x 1/2 x 1/1

    We will then get: 1 / (5x4x3x2x1) = 1/120

    1/120 is the probability of the 5 slots showing the word "world"
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