BIT 2405 Lecture Notes - Lecture 2: Conditional Probability, 3 Women, List Of Poker Hand Categories

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The number of permutations of n objects taken k at a time is denoted by. A committee of 5 is to be selected from a group of 6 men and 9 women. A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (of course, different from the first denomination). Thus, one kind of full house is three of a kind plus a pair. Consider a well-shuffled deck of cards with 13 hearts, 13 spades, 13 clubs, and 13 diamonds: find the probability that the first card dealt is a heart. 13/52: find the probability that the first card dealt is a spade 13/52, find the probability that the first card dealt is not a spade 39/52. A box contains 18 large marbles and 10 small marbles. 12 of the large marbles are green and 4 of the small marbles are white.

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