Posted by **John** on Wednesday, March 3, 2010 at 5:32pm.

I'm looking at my notes and I can't seem to figure how my teacher did this problem. She used her name which has 9 letters, 3 vowels, and 6 consonants. If we were to reach in the bag and grab 3 letters out. By using the probability distribution what's the probability of getting 0, 1, 2, and 3 vowels. I know how to do the probability of 0 vowel. For 1 vowel she did (3/9*6/8*5/7)3 how did she get 6/8 and 5/7. For 2 vowels she did (3/9*2/8*6/7)3 same here where did the 2/8 and 6/7 come from. Then for 3 vowels she had 1 minus everything.

- Statistics -
**Reiny**, Wednesday, March 3, 2010 at 6:09pm
I will do the 2 vowels for you

since she grabbed 3 letters it could have been

VVC, VCV, or CVV

look at the first, the VVC

there are 3 vowels out of 9 prob (first a vowel) = 3/9

so now there are 8 letters left, 2 of them vowels

prob (second a vowel) = 2/8

so now the third letter must be a consonant, and there are 7 letters left, 6 of them consonants.

Prob(third is a consonant) = 6/7

so

Prob(first a vowel, 2nd a vowel, third a cons) = 3/9 x 2/8 x 6/7

now can you see how she would get the VCV of

3/9 x 6/8 x 2/7 setup ?

and for the CVV it would be 6/9 x 3/8 x 2/7

did you notice that the numerators are simply

2x3x6 and the denominators are 9x8x7 just in different order?

Does it matter what order you do multiplication?

so the prob would be

(3/9*2/8*6/7)(3/9*2/8*6/7)(3/9*2/8*6/7)3

=(3/9*2/8*6/7)^3

Now see if you reason out the others in the same way.

## Answer this Question

## Related Questions

- math - ASAP ASAP if my name is Frances 1.What fraction of the letters in my name...
- math - I hope i am on the right track. Please look at my answer so I am doing ...
- english - what is a consonant Consonant = not a vowel. The vowels are a, e, i, o...
- maths-probability - From the word HINDUSTAN ===== (a) In how many of these ...
- probaility.....plse help me..... - From the word HINDUSTAN ===== (a) In how many...
- Geometry - To name each figure below, use as many of the letters A, B, C,...as ...
- Data Management Grade 12 - How many different five-letter words can be formed ...
- English - [j], [w] : phonetic symbols Are both consonants or vowels? They are ...
- Math - From the word COMBINE, how many different 7 letter words are possible...
- finite - In how many ways can the letters in Saskatchewan be rearranged and ...