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

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09 May 2019 Probability

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

OPtion

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

Solution

P(first letter is not vowel) = 4/7 = 4/7


P(second letter is not vowel) = 3/6 = 1/2


So, probability that none of letters would be vowels is = (4/7)×(1/2)= 2/7

Correct Option: 7 Best Solution (2)