We are given the word ‘$ASSASSINATION$’.

The total letters in the given word $ = 13$.

Number of vowels in the given word $ = 6$.

Number of consonants in the given word $ = 7$.

Then, the sample space is $n\left( S \right){\text{ }} = {\text{ }}13$

(i) a vowel

Suppose $A$ be the event of selecting a vowel.

So, $n\left( A \right){\text{ }} = {\text{ }}6$

Then, the probability of the event is

$P(A) = \frac{{n(A)}}{{n(S)}}$

$P(A) = \frac{6}{13}$

(ii) Suppose $B$ be the event of selecting the consonant.

So, $n\left( B \right){\text{ }} = {\text{ }}7$

Then, the probability of the event is

$P(B) = \frac{{n(B)}}{{n(S)}}$

$P(B) = \frac{7}{13}$