1.

If a letter is chosen at random from the English alphabet, find the probability that the letter is chosen is(i) a vowel (ii) a consonant

Answer»

Total number of possible outcomes = Total number of alphabets = 26

We know,

Probability of occurrence of an event = (Total number of favorable outcomes) / (Total number of outcomes)

(i) a vowel

Favorable outcomes are a, e, i, o, u

Total number of favorable outcomes = 5

Therefore, the probability that the letter is chosen is a vowel = 5/26

(ii) a consonant

Total number of consonant = 26 – 5 = 21

Therefore, the probability that the letter is chosen is a consonant = 21/26



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