Four toy blocks each with one of the letters M, A, T, and H are placed in a box.

Question

Four toy blocks each with one of the letters M, A, T, and H are placed in a box. If you randomly pick them one at a time without replacement, what is the probability that you will choose them in the order MATH?

Answer 1

Well the chance of picking M first is 1/4

Then chance of picking A second is 1/3

T third is 1/2

H fourth (automatic)

The events are independent so we multiply probabilities

(1/4) x (1/3) x (1/2) = 1/24