Question

a jug contains 12 marbles where 4 are white and 8 are blue. three players: roger, rafa, and novak successively draw from the jug: first roger, then rafa and third novak, and then they repeat the order continuously. the winner is the first one to draw a white ball. if the balls are not replaced after each draw, what is the probability that novak wins?

Answer 1

The probability that Novak would prevail if the balls are not changed after each draw is 0.4.

Given that,

12 marbles, 4 of which are white and 8 of which are blue, are in a jug. Three players, Roger, Rafa, and Novak, take turns drawing from the jug: Roger first, Raf second, and Novak third. They then continue in this pattern. The first person to draw a white ball is the winner.

We have to find what is the probability that Novak would prevail if the balls are not changed after each draw.

We know that,

A jug contains 12 marbles, where 4 are white and 8 are blue.

Total is 12 marbles.

The probability of Novak wins is 4/10=0.4

Therefore, The probability that Novak would prevail if the balls are not changed after each draw is 0.4.

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