Question

A letter of English alphabet is chosen as random, what is the probability that it is a letter of word MATHEMATICS

Answer 1

no of distinct alphabet on MATHEMATICS=8
total outcomes=26
∴probability = favourable outcome/total outcome
  probability= 8/26
probability= 4/13

Answer 2

Given: A letter of English alphabet is chosen as random.

To find: The probability that it is a letter of word MATHEMATICS.

Solution:

The word MATHEMATICS has 8 letters that occur in the word without any repetition. This means that the number of Total favourable outcomes is 8. Now, there are 26 alphabets in English letters. Hence, the total number of possible outcomes is 26.

The probability of the occurrence of an event can be given by the following formula.

$P(E) = \frac{favourable}{possible}$

         $= \frac{8}{26}$

         $= \frac{4}{13}$

Therefore, the probability that it is a letter of word MATHEMATICS is 4/13.