If two letters are taken at random from word STUPID, what is the probability that none of the letters would be vowels?

Question

If two letters are randomly taken one after the other from the word AUGUST, what is the probability that none of the letters would be vowels?

Answer 1

14/15

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Number of ways of selecting 2 letters of word STUPID- 2*(5+4+3+2+1)=30
Number of ways selecting 2 vowels- 2 (UI & IU)
Probability- (30-2)/30=28/30= 14/15

Comments

12/15