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Six cards

by crackgmat007 » Fri Oct 02, 2009 7:46 pm
There are six cards bearing numbers 2,4,5,5,5,6. If two cards are randomly selected from the lot, what is the probability that the difference between the numbers on these cards is 3 or less?

8/15
9/15
10/15
12/16
14/15
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by sanjana » Sat Oct 03, 2009 8:39 am
In my Opinion,

P (Diff <=3) = 1 - P (Diff > 3)

Total number of outcomes picking 2 at a time is: 6c2 = 15

Number of outcomes with Diff > 3 is just 1 (6, 2)

Therefore P (Diff <=3) = 1-(1/15) = 14/15.

Therefore, E

What's the OA?
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by crackgmat007 » Sat Oct 03, 2009 9:44 am
OA - E
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