Question

You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of the letters in the word 'MATH'?

Answer 1

Do you know the probability of drawing one letter, like "M" from the deck?

Answer 2

We have 26 letters to choose from, and we're choosing one.

Answer 3

Yes, there's a 1/26 probability of choosing 'M'

Answer 4

Okay. Then you know there's also a 1/26 probability of choosing the "A", 1/26 for choosing the "T", and 1/26 for choosing the "H".

In this question, we're looking at the probability of drawing one of the four cards in a set of 26 (M, A, T, and H). In this case we have four options that we want out of 26. So, the probability here would be the same as adding together the chances of drawing each card together (since we're more likely to draw one of four cards than a single card).
1/26 + 1/26 + 1/26 + 1/26