A bag contains \( W \) white balls and \( R \) red balls. Two players \( P_{1} \) and \( P_{...
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A bag contains \( W \) white balls and \( R \) red balls. Two players \( P_{1} \) and \( P_{2} \) alternately draw a ball from the bag, replacing the ball each time after the draw, till one of them draws a white ball and wins the game. \( P_{1} \) beings the game. The probability of \( P_{2} \) being the winner, is equal to
(A) \( \frac{W^{2}}{(W+2 R) R} \)
(B) \( \frac{R}{(2 W+R)} \)
(C) \( \frac{R^{2}}{(2 W+R) W} \)
(D) \( \frac{R}{(W+2 R)} \)
\( \mathrm{P} \)
W
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