Christopher mixes the letters s, e, l, e, c, t, e, and d thoroughly. without looking, allen draws one letter. expressed as a fraction, decimal, and percentage, what is the probability that allen will not select a consonant?

In decimal,

In percentage,

Step-by-step explanation:

Given: Christopher mixes the letters S, E, L, E, C, T, E, and D thoroughly.

Total number of letters= 8

The number of consonant=5 (S, L, C, T, D )

The number of letters which are not consonants (vowels)=8-5=3

Now, the probability that Allen will NOT select a consonant is given by :-

In decimal,

In percentage,

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18