The following problem involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each.
The following problem 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, but before you draw the second card, you put the first one back and reshuffle the deck.(a)Are the outcomes on the two cards independent? Why?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. Yes. The events can occur together.No. The probability of drawing a specific second card depends on the identity of the first card.(b)Find P(3 on 1st card and 9 on 2nd). (Enter your answer as a fraction.)(c)Find P(9 on 1st card and 3 on 2nd). (Enter your answer as a fraction.)(d)Find the probability of drawing a 9 and a 3 in either order. (Enter your answer as a fraction.)
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