Nothing
numerator <- # P(K=2 & H=2)
( 1 * # pick King of Hearts
choose(3,1) * # pick one other King
choose(12,1) * # pick one other heart
choose(52-1-12-3,2) + # pick 2 other cards
#
choose(3,2) * # pick 2 Kings (not hearts)
choose(12,2) * # pick 2 hearts (not King)
choose(52-1-12-3,1) # pick 1 other card
) / choose(52,5)
denominator <- # P(H = 2)
choose(13,2) * # pick 2 hearts
choose(52-13,3) / # pick 3 other cards
choose(52,5)
numerator/denominator
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