An alphabet has been selected from English alphabets. What is the probability that it is a vowel given that it precedes 'M'?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1/4
The condition "it precedes M" reduces the sample space to the 12 letters A to L. The vowels among them are A, E and I, that is 3 of the 12.
\( \displaystyle P(\text{vowel}\mid\text{precedes }M)=\frac{3}{12} \)
\( \displaystyle =\frac{1}{4} \)