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In a game of poker you are dealt 5 cards at random from a standard deck

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In a game of poker you are dealt 5 cards at random from a standard deck of 52. A standard deck of 52 contains 13 different denominations of cards (Ace, 2, 3, ..., 10, jack, queen, king), each in four different suits (hearts, spades, diamonds and clubs).

a) (5 marks) What is the probability of being dealt a hand where all 5 cards are different denominations (call this event D)?

 b) (5 marks) What is the probability of being dealt a hand that includes at least one Ace (call this event A)?

c) (5 marks) What is the probability of being dealt either of the hands described in parts (a) and (b)?

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[Solved] In a game of poker you are dealt 5 cards at random from a standard deck

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