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? Yes. The events can occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card No. The events carnot occur together. No. The probability of draning a specific second card depends on the identity of the frst 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.)
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? Yes. The events can occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card No. The events carnot occur together. No. The probability of draning a specific second card depends on the identity of the frst 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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?
Yes. The events can occur together.
Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card
No. The events carnot occur together.
No. The probability of draning a specific second card depends on the identity of the frst 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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