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?

ANSWER CHOICES 2%-3%-5%-6%

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? 

ANSWER CHOICES 2%-3%-5%-6%

anonymous · Answer

how many letters in "mathematics" ?

anonymous · Answer

guess i have to count for myself
damn

anonymous · Answer

11 lol

anonymous · Answer

i get eleven
four vowels
probability first one is a vowel is $\frac{4}{11}$
probability second one is a vowel given that the first on is $\frac{3}{10}$ 
probability that third is given etc is $\frac{2}{9}$ and
last one is $\frac{1}{8}$ 

multiply all these for your answer

anonymous · Answer

$$\frac{ 4 }{ 11 }\times \frac{ 3 }{ 10 }\times \frac{ 2 }{ 9 }=\frac{ 4 }{165 }$$

anonymous · Answer

oops pick 3 letters
go with @pgpilot326  answer, not mine

anonymous · Answer

thanks

anonymous · Answer

you're welcome!