Just need a help hand, I just want to know whether I'm doing the right thing for this question. A hand of 13 cards is to be dealt at random and without replacement from 52 cards. find the conditional probabilty that there are 2 kings given that the hand contains at least 3 kings. Let $X$ be the number of kings then $P( X\geq 2|X\geq 3) = 1 - P( X< 2|X\geq 3) $. Is it any independent problem ? An explanation will do..
Probability of at least 2 kings given 3 kings
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statistics
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2Before going to formulas, it is useful to take a good look at the meaning of a question. – 2012-09-04
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If there are at least three kings, there are at least two kings. The probability is $1$.
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0A more interesting question would be what is the probability of getting three kings given that you got at least two. Maybe the OP got it turned around. – 2012-09-05