A box B contains 1 white ball, 3 red balls and 2 black balls. Another box...

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A box B contains 1 white ball, 3 red balls and 2 black balls. Another box B contains 2 white balls, 3 red balls and 4 black balls. A third box B3 contains 3 white balls, 4 red balls and 5 black balls. 154. If 2 balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the other ball is red, then the probability that these 2 balls are drawn from box B, is 116 126 65 181 181 181 (b) 90 648 155. If 1 ball is drawn from each of the boxes B, B and B3, then the probability that all 3 drawn balls are of the same colour, is [JEE Advanced 2013, 3+3M] 82 558 566 648 648 648 156. Let A and Bbe two events, such that P(AUB) (d) 55 181 (d) 6 1 P(AB) = and P(A) = , where A stands for the 4 2 complement of the event A. Then, the events A and Bare (a) independent but not equally likely [JEE Main 2014, 4M] (b) independent and equally likely (c) mutually exclusive and independent (d) equally likely but not independent WIN 157. Three boys and two girls stand in a queue. The probability that the number of boys ahead of every girl is atleast one more than the number of girls ahead of her, is [JEE Advanced 2014, 3M] (a)=1/12 (b) / (d) /4 I A box B contains 1 white ball, 3 red balls and 2 black balls. Another box B contains 2 white balls, 3 red balls and 4 black balls. A third box B3 contains 3 white balls, 4 red balls and 5 black balls. 154. If 2 balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the other ball is red, then the probability that these 2 balls are drawn from box B, is 116 126 65 181 181 181 (b) 90 648 155. If 1 ball is drawn from each of the boxes B, B and B3, then the probability that all 3 drawn balls are of the same colour, is [JEE Advanced 2013, 3+3M] 82 558 566 648 648 648 156. Let A and Bbe two events, such that P(AUB) (d) 55 181 (d) 6 1 P(AB) = and P(A) = , where A stands for the 4 2 complement of the event A. Then, the events A and Bare (a) independent but not equally likely [JEE Main 2014, 4M] (b) independent and equally likely (c) mutually exclusive and independent (d) equally likely but not independent WIN 157. Three boys and two girls stand in a queue. The probability that the number of boys ahead of every girl is atleast one more than the number of girls ahead of her, is [JEE Advanced 2014, 3M] (a)=1/12 (b) / (d) /4 I

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