SOLUTION: The word geometry has eight letters. Three letters are chosen at random. What is the probability that two consonants and one vowel are chosen? answer choices: 0.536 0.268 0

Algebra ->  Probability-and-statistics -> SOLUTION: The word geometry has eight letters. Three letters are chosen at random. What is the probability that two consonants and one vowel are chosen? answer choices: 0.536 0.268 0      Log On


   



Question 1084749: The word geometry has eight letters. Three letters are chosen at random. What is the probability that two consonants and one vowel are chosen?
answer choices:
0.536
0.268
0.179
0.089
Please HELP!!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In geometry there are 3 vowels (e,e,o) and 5 consonants (g,m,t,r,y).
There are 3 ways to pick two consonants(C) and one vowel(V).
{CCV}
{CVC}
{VCC}
So,
P=3%285%2F8%29%284%2F7%29%283%2F6%29
P=180%2F336
P=15%2F28