Each of the letters in the word MATHEMATICS is represented by a letter tile in a bag. Stacey picks three letters, without replacement. To the nearest whole percent, which is the probability that she'll get all vowels?

two percent

three percent

five percent

six percent

Question

Each of the letters in the word MATHEMATICS is represented by a letter tile in a bag. Stacey picks three letters, without replacement. To the nearest whole percent, which is the probability that she'll get all vowels?

 two percent

 three percent

 five percent

 six percent

anonymous · Answer

So, in mathematics, how many vowels do we have?

anonymous · Answer

3?

anonymous · Answer

So there's mAthEmAtIcs
AEAI
so 4 vowels.

anonymous · Answer

Wouldn't we not count that other A though?

anonymous · Answer

We have to count all letters, even the repeated ones because there is a separate tile for each letter. There are 11 letter tiles that represent the word mathematics, so there are two A tiles otherwise the word mathematics wouldn't be complete

anonymous · Answer

Oooo okay!

anonymous · Answer

ok lets move on to the next step, shall we?

anonymous · Answer

Yes please

anonymous · Answer

So, for the first draw, we know we have a possibility of drawing any 4 vowel tiles out of the 11 tiles, right?

anonymous · Answer

Let me write that down
alright so that is the probability for the first draw.|dw:1376716780983:dw|

anonymous · Answer

okay

anonymous · Answer

now, after the first draw, for the second draw, the probability is 3 out of 10.

anonymous · Answer

and in the third draw, it is 2 out of 9.

anonymous · Answer

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