Posted by Subhotosh Khan on October 08, 2002 at 16:23:56:
In Reply to: Poker Problem posted by Paul on October 08, 2002 at 16:05:00:
: A poker had of 5 cards is drawn from standard 52 card deck w/o replacement.
: What is the probability we get 4 cards of one kind?
: If do not get 4 of a kind on 1st draw, we keep the highest for which we have several of a kind (if none, keep only the highest card) then throw away the others and replace w/fresh cards. Can only do this once.
: What is the probability we get 4 of a kind if we follow this strategy?
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Probability of drawing fist card (any) = 52/52
Probability of drawing second card (same as first) = 3/51
Probability of drawing third card (same as first) = 2/50
Probability of drawing fourth card (same as first) = 3/49
These are "mutually exclusive" events. Find combined probability.