Answer:
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.