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Not looking for the answer I am just horrible at math and don't understand. Can you help me understand how to set up the problem.
a. Drawing from a regular deck of playing cards, what is the probability of drawing a face card (jack, queen, king) 3 times in a row? (assume that jokers are taken our and assume no replacement)
b. How would the probability change if you assumed replacement?
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At the moment when you pick the first card there are 52 cards in the deck of which 12 are face cards. So the chances of the first card being a face card is 12/52 (12 chances out of 52) which cancels down to 3/13.
Now the chances of picking another face card from the remaining pack compound with the previous answer to give a chance of drawing two face cards of:
3/13 * 11/51 (11 because there are now 11 face cards left and 51 because there are now only 51 cards left)
And so for three face cards = 3/13 * 11/51 * 10/50 = 330/33150 = 11/1105 =0.0099
For the second part, the chances are modified as you would expect to produce:
3/13 * 3/13 * 3/13 = 27/2197 = 0.0122
Last edited by gnitsuk (2006-07-10 20:39:31)
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