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? 2%    3%    5%    6%any1 know the abswer

The correct answer is 2%.there are 4 vowels out of 11 letters, so the probability of getting a vowel the first time is 4/11.after drawing the first one, since it is without replacement, the probability of getting a vowel the second time was 3/10.the probability of a vowel the third time would be 2/9, since it was done again without replacement.this gives us a total probability of  4/11(3/10)(2/9) = 24/990 = 0.02 = 2%