SOLUTION: A box contains two aces and a king Two cards are drawn from the box: A K A a. Without replacement of the first card drawn- i. Diagram the two draws ii. What is the probability

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Question 719371: A box contains two aces and a king Two cards are drawn from the box: A K A
a. Without replacement of the first card drawn-
i. Diagram the two draws
ii. What is the probability of having an ace and a king after the two draws?
b. With replacement of the first card drawn-
i. Diagram the two draws
ii. What is the probability of having an ace and a king after the two draws?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box contains two aces and a king
Two cards are drawn from the box: A K A
a. Without replacement of the first card drawn-
i. Diagram the two draws
AA' ; AK ;A'K ;
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ii. What is the probability of having an ace and a king after the two draws?
Ans: 2/3
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b. With replacement of the first card drawn-
i. Diagram the two draws
AA ; A'A' ; A'A ; AA' ; AK ; A'k ; KK
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ii. What is the probability of having an ace and a king after the two draws?
With replacement the probability after 2 draws is the same as the probability
before the two draws.
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Cheers,
Stan H.
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