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Probability question


mechnight

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Soo here is the question:

 

A girl chooses 2 letters at random from these 7: A, D, E, K, O,Q, S. What is the probability that one is a vowel and the other is the letter D?

 

I tried writing all the combinations, and then said that there are 7 which have both D and a vowel, out of possible 42, which gives 1/6, but this is not in agreement with the given solution (1/14). Any help will be much appreciated, thanks in advance. :)

Edited by mechnight
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