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Q. $A$ single letter is selected at random from the word "FAVOURABLE". The probability that it is a vowel, is

Probability

Solution:

Number of vowels are $A$, $O$, $U$, $E$
$\therefore $ One can be chosen by $^{4}C_{1}$ ways
Total letters in the given word $= 10$
$\therefore $ Required probability $= \frac{4}{10} = \frac{2}{5}$