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Three cards are picked from a well-shuffled deck of 52. Half of the cards are red, half are black. The suits come in groups of

Three cards are picked from a well-shuffled deck of 52. Half of the cards are red, half are black. The suits come in groups of 13.

a) What is the probability that none of the cards will be red?

b) What is the probability that the cards will include at least one red card?

c) If your first two cards are diamonds, what is the probability that your third card will also be a diamond?

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