13. [-l6.25 Points] BBBASICSTATBACC 5.2.021 .M l. 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 105, etc., down to four 25 in each deck. You draw two cards from a standard deck of 52 cards without replacing the rst one before drawing the second. (a) Are the outcomes on the two cards independent? Why? No. The events cannot occur together. Yes. The probability of drawing a specic second card is the same regardless of the identity of the first drawn card. ' \\ Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the rst card. (b) Find P(ace on lst card and king on 2nd). (Enter your answer as a fraction.) (c) Find P(king on lst card and ace on 2nd). (Enter your answer as a fraction.) (d) Find the probability of drawing an ace and a king in either order. (Enter your answer as a fraction.)