probability qs

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Incognito
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A bag contains ‘a’ white and ’b’ black balls. Two players A and B alternately draw a ball from the bag, replacing the ball each time after the draw. A begins the game. If the probability of A winning (That is drawing a white ball) is twice the probability of B winning, then the ratio a:b is equal to
a. 1 : 2
b. 2 : 1
c. 1 : 1
d. None of these

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