A deck of 26 alphabet cards contains one card for each letter including the vowels A, E, I, O, and U. What is the probability that both cards are vowels?

Question

A deck of 26 alphabet cards contains one card for each letter including the vowels A, E, I, O, and U. One card is drawn and not replaced and then a second card is drawn. What is the probability that both cards are vowels?

Answer 1

1st card;  5 out of 26 = 5/26

2nd card: 4 out of 25 = 4/25

 

(5/26)(4/25) = 2/65

 

2 out of 65