Question

Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ?

Answer 1

Each card bears an English alphabet. 

∴ n(S) = 26 

Let A be the event that the card drawn is a vowel card. 

There are 5 vowels in English alphabets. 

∴ A = {a, e, i, o, u} 

∴ n(A) = 5 

 ∴ P(A) = \(\frac{n(A)}{n(S)}\) = 5/26

∴ The probability that the card drawn is a vowel card is 5/26.