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13 January, 12:54

A basket contains 1 blueberry muffin, 1 apple muffin, 1 bran muffin, and 1 carrot muffin. you randomly choose 3 muffins. what is the probability that you choose apple, bran, and carrot muffins? Write in the form of fraction in simplest form.

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  1. 13 January, 12:56
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    We have 4 muffins.

    The probability of choosing apple first is equal to the number of apple muffins in the basket divided the total number of muffins:

    p1 = 1/4

    For the second selection we must slect the bran muffin, we do the same as before, but we already selected a muffin, so there are 3 muffins in the basket

    p2 = 1/3

    For the third selection we have 2 muffins in the basket, so:

    p3 = 1/2

    the joint probability is:

    p = p1*p2*p3 = (1/4) * (1/3) * (1/2) = 1/24

    This is if the order matters (first apple, then bran, then carrot)

    Now, if we can draw it in any permutation (meaning that the order does not matter), we have 3*2*1 = 6 possible permutations, so the probability is:

    P = 6 * (1/24) = 1/4

    That is equal to the probability of NOT drawing the muffin of blueberry.
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