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

Here, S = {m, a, t, h, e, m, a, t, i, c, s}

Total number of letters in word 'mathematics' n(S) = 11

Let A be the event that the card drawn bears the letter m.

Then A = {m, m}

∴ n(A) = 2

∴ `P(A) = (n(A))/(n(S)`

∴ `P(A) = 2/11`

Hence, the probability  that a card drawn bears the letter ‘m’ is `=2/11`.