A Letter of English Alphabets Is Chosen At Random. What is the Probability that it is a Letter of the Word ‘MATHEMATICS’?

A letter of English alphabets is chosen at random. What is the probability that it is a letter of the word ‘MATHEMATICS’? 

(a) `frac{4}{13}`

(b) `frac{9}{26}`

(c) `frac{5}{13}`

(d) `frac{11}{26}` 



(a) `frac{4}{13}`

Explanation:

The Word ‘MATHEMATICS’ Has 8 Letters That are

= M,A,T,H,E,M,A,T,I,C,S

Number of Letters in word ‘MATHEMATICS’ = 8

Number of Letters in Alphabets = 26

So,

Required Possibilities = `8/26`

= `4/13`







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