1. Starting with one complete deck of 52 cards, determine the likelihood of bein
ID: 2914916 • Letter: 1
Question
1. Starting with one complete deck of 52 cards, determine the likelihood of being dealt a “full house” poker hand with five cards. Then determine the likelihood of being dealt a flush with a five card poker hand. Assume there are no other players (simplifies the problem) and you are dealt five cards without replacement (there are 47 cards left in the deck after you are dealt your hand). Compare the two probabilities. Were the results as you might have thought? Write a short explanation of your thought process and the results.Explanation / Answer
The likelihood of being dealt a full house is 1in 694.
The likelihood of being dealt a flush is 1in 509.
The flush is just a bit easier to get thana full house. Without knowing the probabilities, one wouldnaturally assume that the flush would be easier to get because itdoes not require the cards to be of the same value. They only haveto be of the same suit, and there are 13 of each suit in the deck,so each card dealt has a 25 percent chance of being a particularsuit.
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