The following question involvesa tandard deck of 52 playing cards. In such a deck of cards there are four suts of 13 cards each. The four suits are hearts. damonds. dubs. and spedes. The 26 cards included in hearts and damonds are red. The 26 cards indluded in clubs and spades are black. The 13 cards in each sut 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. ete. don to four 2s in each deck Vou dra to carda from a standard deck of 52 cards without replacing the first one before draing the second. (a) Are the outeomes on the to cards independent? why? O No. The events cannot eccur together O ve. The events can eur together O No. The probability of dravingaspecfie second card depends on the identity of the first card. O ve. The probability of draving a specfic second card is the same regardiess of the identity of the frat dran card. (b) Find Pace on it card and nine on 2nd). (Enter your ansera fraction.) (e) Find Pnine on ist card and ace on 2nd), (Enter veur an ra fractien.) (0) Find the probability of draing an ace andanine in ether order. (Enser your aner aa fraction.)

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Hello, please answer all parts. If not all can be answer please answer b,c and d. thank you.

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?
O No. The events cannot occur together.
O Yes. The events can occur together.
O No. The probability of drawing a specific second card depends on the identity of the first card.
O Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.
(b) Find P(ace on 1st card and nine on 2nd). (Enter your answer as a fraction.)
(c) Find P(nine on 1st card and ace on 2nd). (Enter your answer as a fraction.)
(d) Find the probability of drawing an ace and a nine in either order. (Enter your answer as a fraction.)
Transcribed Image Text: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? O No. The events cannot occur together. O Yes. The events can occur together. O No. The probability of drawing a specific second card depends on the identity of the first card. O Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card. (b) Find P(ace on 1st card and nine on 2nd). (Enter your answer as a fraction.) (c) Find P(nine on 1st card and ace on 2nd). (Enter your answer as a fraction.) (d) Find the probability of drawing an ace and a nine in either order. (Enter your answer as a fraction.)
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