SOLUTION: You and your friend are playing scrabble. There are 44 vowels and 56 consanants. If you pick first, what is the probability that you will pick three vowels and four consonants?

Algebra ->  Permutations -> SOLUTION: You and your friend are playing scrabble. There are 44 vowels and 56 consanants. If you pick first, what is the probability that you will pick three vowels and four consonants?       Log On


   

Question 526649: You and your friend are playing scrabble. There are 44 vowels and 56 consanants. If you pick first, what is the probability that you will pick three vowels and four consonants?
The answer is .262, and I cannot figure this one out.
I tried 44/100 *43/99* 42/98 + 56/97*55/96*54/94*53/93, but that doesn't make sense because the order that you pick will change outcome.
Thanks for the help.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
how many ways to pick 7 letters ___ 100C7

how many ways to pick 3 vowels ___ 44C3

how many ways to pick 4 consonants ___ 56C4

probability of 3v and 4c ___ (44C3)(56C4) / (100C7)

this does not agree with the answer you claim, but I think this is correct