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Question:

The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four Aces, four Kings, four Queens, four 10s, etc., down to four 2s in each deck.

You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a)Are the outcomes on the two cards independent? Why?

No. The probability of drawing a specific second card depends on the identity of the first card.

Yes. The events can occur together.

Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

No. The events cannot occur together.

(b)FindP(ace on 1st cardandjackon 2nd). (Enter your answer as a fraction.)

(c)FindP(jackon 1st cardandace on 2nd). (Enter your answer as a fraction.)

(d)Find the probability of drawing an aceandajackin either order. (Enter your answer as a fraction.)