Bridge Hands What is the probability that a bridge hand consists of all cards from the same suit?
The probability that a bridge hand consists of all cards from the same suit.
Bridge Hands: The cards held in a game of bridge.
Combinations: Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
Here, is the total number of items and is the number of items being chosen at a time.
If is the event in a sample space , then the probability of is
There are cards in a deck. So,
So, in bridge hand, the number of possible outcomes is,
Substitute for and for in equation(1).
There are four suits and each suit has cards.
If bridge hand consists of all cards from the same suit then the number of possible outcomes is,
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