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10. [46.25 Points] DETAILS BBBASICSTATSACC 5.2.021.MI. MY NOTES | ASK YOUR TEACHER The following question involves a standard deck of 52 playing cards. In such

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10. [46.25 Points] DETAILS BBBASICSTATSACC 5.2.021.MI. MY NOTES | ASK YOUR TEACHER 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? 0 Yes. The events can occur together. 0 No. The events cannot occur together. 0 No. The probability of drawing a specific second card depends on the identity of the first card. 0 Yes. The probability of drawing a specic second card is the same regardless of the identity of the rst drawn card. (b) Find P(ace on lst card and king on 2nd). (Enter your answer as a fraction.) D (c) Find P(king on lst card and ace on 2nd). (Enter your answer as a fraction.) D (d) Find the probability of drawing an ace and a king in either order. (Enter your answer as a fraction.) U

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