Problems 21-24 involve 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. 21. | General: Deck of Cards 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? (b) Find P(Ace on 1st card and King on 2nd). (c) Find P(King on 1st card and Ace on 2nd). (d) Find the probability of drawing an Ace and a King in either order. 22. | General: Deck of Cards 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? (b) Find P(3 on 1st card and 10 on 2nd).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Number 21

Problems 21-24 involve 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.
21. | General: Deck of Cards 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?
(b) Find P(Ace on 1st card and King on 2nd).
(c) Find P(King on 1st card and Ace on 2nd).
(d) Find the probability of drawing an Ace and a King in either order.
22. | General: Deck of Cards 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?
(b) Find P(3 on 1st card and 10 on 2nd).
Transcribed Image Text:Problems 21-24 involve 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. 21. | General: Deck of Cards 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? (b) Find P(Ace on 1st card and King on 2nd). (c) Find P(King on 1st card and Ace on 2nd). (d) Find the probability of drawing an Ace and a King in either order. 22. | General: Deck of Cards 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? (b) Find P(3 on 1st card and 10 on 2nd).
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