SOLUTION: STATISTICS. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and th

Question 1113532: STATISTICS. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and this happens up to the 10th card. You start thinking �the next one will likely be red!�. Are you correct in this reasoning?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
there are 26 red cards and 26 black cards in the deck
:
you have turned over 10 black cars, that leaves 16 black cards in the deck and 42 cards in the deck
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Probability (P) of drawing 10 black cards is (26/52) * (25/51) * (24/50) * (23/49) * (22/48) * (21/47) * (20/46) * (19/45) * (18/44) * (17/43) = 0.0003
:
P of drawing 11 black cards is 0.0003 * (16/42) = 0.000114286
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P of drawing 10 black cards and the 11th is a red card = 0.0003 * (26/42) = 0.000185714
:
No - there is a small chance that the next card drawn will be red
:

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