Question

If a letter is chosen at random from the word ''ASSASSINATION'', then probability that the letter is vowel, is

• A. $\frac{3}{13}$
• B. $\frac{9}{13}$
• C. $\frac{7}{13}$
• D. $\frac{6}{13}$

Answer 1

The correct option is D $\frac{6}{13}$

There are $13$ letters in the word ''ASSASSINATION''
$\therefore n\left(S\right)=13$
Let $E$ be the event of getting a vowel
$E=\{A,A,I,A,I,O\}$
$n\left(E\right)=6$
$\therefore P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{6}{13}$