Answer:
8/14
Explanation:
The probability of getting a consonant is the sum of the total consonants divided by the total number of letters. The consonants in the word ADMINISTRATION are 8 in number (D,M,N,S,T,R,T,N) while the vowels in the word are 6 in number (A,I,I,A,I,O).
Therefore, the sum of the letters in the word ADMINISTRATION is 14.
The probability of getting a consonant is equal to;
Sum of Consonants/ Sum of the letters
which is 8/14.
Since the two numbers are divisible by 2, we could break the fraction further to get 4/7.