Question

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?

Answer 1

im pritty sure it would be 30%

Answer 2

Answer:
`\text{P(Not consonant)}=(3)/(8)`

In decimal,
`0.375`

In percentage,
`37.5\%`

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 :-

`\text{P(Not consonant)}=\frac{\text{number of non consonant letters}}{\text{total letters}}`

`\\\Rightarrow\ \text{P(Not consonant)}=(3)/(8)`

In decimal,
`(3)/(8)=0.375`

In percentage,
`(3)/(8)*100=37.5\%`