SOLUTION: The letters of the alphabet are written on 26 cards. Two cards are chosen at random. What is the probability that at least one of them is a consonant?

Question 885509: The letters of the alphabet are written on 26 cards. Two cards are chosen at random. What is the probability that at least one of them is a consonant?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

There are 5 vowels and 21 consonants. (We are considering Y as a consonant).

There are C(26,2) = 325 possible pairs of letters.
There are C(5,2) = 10 unsuccessful pairs of letters (two vowels)
Therefore there are 325-10 = 315 successful pairs of letters.

Probability: 315 successful pairs out of 325 possible pairs or ,
which reduces to .

Edwin

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