Calculate the chances of both events

Statistics biometry question
April 10, 2020
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April 10, 2020

Calculate the chances of both events

Assume you are dealt the following hand in draw poker: 5H 6H 7D 8H KH You could discard the king of hearts and hope to draw either a 4 or a 9 giving a straight,or you could discard the 7 of diamonds and hope to draw a heart giving a flush. Calculate the chances of both events assuming that you are drawing from a fresh deck of 52 cards,and calculate the chances assuming you are drawing from the same deck the hand was dealt from.(4 different possibilities): straight from full deck: Flush from full deck: straight from “used” deck : flush from “used” deck: please provide formulas for the answers.

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