Suppose that 3 white balls and 1 black ball are placed in a box. Balls are drawn

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Suppose that 3 white balls and 1 black ball are placed in a box. Balls are drawn in succession without replacement until a black ball is drawn, and then the game is over. You win if the black ball is drawn on the fourth draw. 

(A) What are the probability and odds for winning? 

(B) If you bet $1, what should the house pay you for winning (plus return your $1 bet) if the game is to be fair?

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