Question

In: Statistics and Probability

In a standard deck of cards, there are 4 suits (Clubs, Hearts, Diamonds, and Spades) and...

In a standard deck of cards, there are 4 suits (Clubs, Hearts, Diamonds, and Spades) and 13 ranks

of each suit (2 through 10, Jack, Queen, King, Ace). The diamonds and hearts are red, spades and

clubs are black. Imagine drawing cards (without replacement) from a shuffled deck, so that any card

in the deck is equally likely to be drawn. What is the probability that

(a) If you draw 5 cards, no cards in your hand are red?

(b) If you draw 3 cards, you draw a club, a heart, and an ace (in that order)?

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