Probability Theory: Q1, Q2, and Q3

[rishabhbhatt92]

Q1. There are n cells and each cell contains k balls. One ball is taken from each of the cells. Find the probability that the second lowest label from the balls drawn is m.

Q2. Game played by two friends: each player picks two balls. The person who gets the first white ball in the second draw is the winner. Find the probability that the first player does not win till the third draw given that the first player wins. The urn from which they are drawing contains a white balls and b black
balls.

Q3. From an urn containing a white and b black balls first m balls are drawn one by one and then a ball is drawn. Then n balls are draw at one go and then another ball is drawn, then k more drawn. Given that the m+1 st ball is black find the probability that the m+n+2 nd ball is white.

 

[MarkFL]

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