3. Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probability. Use a calculator. (Show your answer to nine decimal places.
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(a) What are the chances of being dealt a royal flush or a flush?
(b) What are the chances of being dealt four of a kind or better?
(c) What are the chances of being dealt a hand that will lose to a straight?