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

Total number of letters in word 'mathematics' = 11
= 36
Number of letters in word 'mathematics' = 2
Therefore, required probability = $\frac{\mathrm{Number}\mathrm{of}\mathrm{letters}\mathrm{m}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{letters}}$
$=\frac{2}{11}$
Hence, the probability that a card drawn bears the letter ‘m’ is $\frac{2}{11}$.