SOLUTION: Consider a standard deck of 52 cards
(i) If you draw two cards from the deck without returning them. What is the probability that at
least one will be a King?
(ii) Four Queens a
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Probability-and-statistics
-> SOLUTION: Consider a standard deck of 52 cards
(i) If you draw two cards from the deck without returning them. What is the probability that at
least one will be a King?
(ii) Four Queens a
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Question 1082068: Consider a standard deck of 52 cards
(i) If you draw two cards from the deck without returning them. What is the probability that at
least one will be a King?
(ii) Four Queens are removed from the deck and placed face down on the table. If you turn over two of these cards, what is the probability that one is a red Queen and the other is a black Queen?
You can put this solution on YOUR website! (i) P(Drawing two cards and having at least one be a king) is the same as 1 - P(no king appears in the draw)
and the latter is easier to calculate directly:
P (no king in a draw of 2 cards) = (48/52)*(47/51) = 564/663
P(rawing two cards and having at least one be a king) =
1 - 564/663 = 99/663 = or about 0.14932
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(ii) Say you pick the two cards one at a time from the 4 queens: P(red then black) + P(black then red) =
(2/4)*(2/3) + (2/4)*(2/3) = 8/12 =
—
This can be also be seen by the number of arrangements possible for the 4 queens:
RRBB, RBRB, RBBR, BBRR, BRBR, BRRB and say you just deal out the first two of these, exactly
4 out of the 6 possible arrangements will give you one R and one B.
