10th Class Mathematics Probability Question Bank MCQs - Probability

A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is:

A) \[\frac{3}{11}\]

B) \[\frac{4}{11}\]

C) \[\frac{2}{11}\]

D) \[\frac{5}{11}\]

Correct Answer: B

Solution :

[b] Total number of letters in the word 'PROBABILITY' =11

\[\therefore \] Total number of possible outcomes= 11

Vowels in the word 'PROBABILITY' are

\[\{O,A,l,l\}\]

So, favourable number of outcomes = 4

\[\therefore \] Required probability \[=\frac{4}{11}\]