SOLUTION: A box contains the letters A, E, U, G, R, T, F and L. Supposed Resty selects a letter from the box and then selects another letter from the box without returning the first letter.

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains the letters A, E, U, G, R, T, F and L. Supposed Resty selects a letter from the box and then selects another letter from the box without returning the first letter.      Log On


   

Question 1192553: A box contains the letters A, E, U, G, R, T, F and L. Supposed Resty selects a letter from the box and then selects another letter from the box without returning the first letter. What is the probability that Resty will select a vowel on the first draw and a consonant on the second draw?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(3/8) vowel on first draw. Second draw is now from 7 items with 4 consonants
(3/8)(4/7)=12/56=3/14 probability.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


            The solution and the answer by @Boreal both are incorrect.

            I came to bring my corrections. 


3%2F8  vowel on first draw. Second draw is now from 7 letters with 5 consonants

%283%2F8%29%2A%285%2F7%29 = 15%2F56  probability.      ANSWER

Solved.