If two letters are taken at random from the word STUPID, what is the probability that none of the le

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28 Nov 2018 Probability

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

OPtion

1) 1/2
2) 3/5
3) 2/5
4) 1/6
5) 1/3
6) 1/12
7) 2/3
8) 3/10
9) 5/12
10) None of these

Solution

P(first letter is not vowel) = 4/6 = 2/3


P(second letter is not vowel) = 3/5


So, probability that none of letters would be vowels is = (3/5)×(2/3)=2/5

Correct Option: 3 Best Solution (4)