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 1

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Answer 2

total vowels is 4.
total letters is 11
P of vowel on first pick = 4/11
P of vowel on 2nd pick= (4/11)( 3/10) (as only 3 vowels left and 10 letters)
P of vowel on 3rd pick = (4/11)(3/10)(2/9) (only 2 vowels left and 9 letters)
P of vowel on 4th pick = (4/11)(3/10)(2/9)(1/8) (only 1 vowel and 8 letters)
so total probability is 24/7920
=0.00303030 recurring=0.3 recurring percent.
to nearest whole percent = 0