A casino offers the following game, which costs 10 dollars to play. Two cards are selected at random without replacement from a standard deck of 52 cards.  If both of the cards are kings, you win 220 dollars and get your 10 dollars back.  If exactly one of the cards is a king, you win 20 dollars and get your 10 dollars back,  Otherwise, you lose the 10 dollars.  Let X be equal to the amount of money won as the result of playing this game one time, where winning a negative amount is equivalent to losing that amount.  Find P(X>0) Find E(X)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A casino offers the following game, which costs 10 dollars to play.

Two cards are selected at random without replacement from a standard deck of 52 cards. 

If both of the cards are kings, you win 220 dollars and get your 10 dollars back. 

If exactly one of the cards is a king, you win 20 dollars and get your 10 dollars back, 

Otherwise, you lose the 10 dollars. 

Let X be equal to the amount of money won as the result of playing this game one time, where winning a negative amount is equivalent to losing that amount. 

Find P(X>0)

Find E(X)

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