Question

Each card bears one letter from the word ‘mathematics’. The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’

Answer 1

Sample space 

= {m, a, t, h, e, m, a, t, i, c, s} 

∴ n(S) = 11 

Let A be the event that the card drawn bears the letter ‘m’ 

∴ A = {m, m} 

∴ n(A) = 2

∴ P(A) = \(\frac{n(A)}{n(S)}\)

∴ P(A) = 2/11

∴ The probability that a card drawn bears letter ‘m’ is 2/11.