# Question, Mr K...

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Posted by Denis Borris on October 08, 2002 at 22:16:49:

In Reply to: Hints... posted by Subhotosh Khan on October 08, 2002 at 16:23:56:

: : 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?
: *************************************
: 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.

The art of probability
Is sure not my forte.
SO in all PROBABILITY(!) a stupid question:
wouldn't the probability of getting 4-same simply be 13 / (all combos) ?

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