Respuesta :
Answer: [tex]\text{P(Not consonant)}=\frac{3}{8}[/tex]
In decimal, [tex]0.375[/tex]
In percentage,[tex]37.5\%[/tex]
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 :-
[tex]\text{P(Not consonant)}=\frac{\text{number of non consonant letters}}{\text{total letters}}[/tex]
[tex]\\\Rightarrow\ \text{P(Not consonant)}=\frac{3}{8}[/tex]
In decimal, [tex]\frac{3}{8}=0.375[/tex]
In percentage,[tex]\frac{3}{8}\times100=37.5\%[/tex]