Question

Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the card back in the hat, mix up the cards, pick out another card, and so on. What is the probability that on your first four draws your letters spell MATH?

Answer 1

1/(26)^4
Each letter has the same probability of being picked, as each card is put back before picking another

Answer 2

1/26 x 1/26 x 1/26 x 1/26
1) Taking M from 26 cards: 1/26
2) Put back the M and take A from 26 cards: 1/26
and so on..

Answer 3

sorry, still trying to work through this one!