A poker hand consists of five cards drawn from a deck of 52 cards. Each card has one of 13 denominations (2,3,4,...10,Jack,Queen,King,Ace) and one of four suits (spades,hearts,diamonds,clubs). Determine the probability of drawing "two pairs" (two cards of one denomination, two cards of a different denomination, and one card of a denomination other than those two denominations)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
A poker hand consists of five cards drawn from a deck of 52 cards. Each card has one of 13 denominations (2,3,4,...10,Jack,Queen,King,Ace) and one of four suits (spades,hearts,diamonds,clubs).
Determine the probability of drawing "two pairs" (two cards of one denomination, two cards of a different denomination, and one card of a denomination other than those two denominations)
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