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June 16th, 2014, 01:28 PM   #1
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Probabilities When Drawing Cards

There is a deck of 52 cards with no jokers. 20 cards are selected without replacement. Then the suit of the odd numbered selections (1, 3, 5, 7, 9, 11, 13, 15, 17, and 19) is looked at. Given that there are four suits and ten cards, the least common or tied for the least common suit will have 0 to 2 cards, and the most common or tied for the most common suit will have 3 to 10 cards. What is the probability of the the least common or tied for the least common suit having 0 cards, 1 card, and 2 cards? What is the probability of the most common or tied for the most common suit having 3 cards, 4 cards, 5 cards, 6 cards, 7 cards, 8 cards, 9 cards, and 10 cards?
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