Question

A letter is chosen at random from the word $“STATISTICS”$. The probability of getting a vowel is

• A. $\frac{1}{10}$
• B. $\frac{2}{10}$
• C. $\frac{3}{10}$
• D. $\frac{4}{10}$

Answer 1

The correct option is C $\frac{3}{10}$

$S=\{S,T,A,T,I,S,T,I,C,S\}$
$E($getting a vowel$)=\{A,I,I\}$
$n\left(S\right)=10,n\left(E\right)=3$
$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{3}{10}$