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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, 2, 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? 0 No. "he eyents cannot occur together. O No. "he probability of drawing a specic second card depends on the identity of the rst card. 0 Yes. The probability of drawing a specic second card is the same regardless of the identity of the rst drawn card. 0 Yes. The events can occur together. (b) Find P[ace on lst card and nine on 2nd}. (Enter your answer as a fraction.) E (c) Find P(nine on lst card and ace on 2nd]. (Enter your answer as a fraction.) E (d) Find the probability of drawing an ace and a nine in either order. (Enter your answer as a fraction.) E