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Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the t

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The correct Answer is:
`(16)/(31)`
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Bag I contains 3 red and 4 black balls and Bag II contains 4 red and black balls. Two balls are transferred at random from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred balls were both black.

Bag A contains 4 red,3 white and 2 black balls.Bag B contains 3 red,2 white and 3 black balls.One ball is transferred from bag A to bag B and then a ball is drawn from bag B The ball so drawn is found to be red.Find the probability that the transferred ball is black.

Bag A contains 3 red and 5 black balls,while bag B contains 4 red and 4 black balls.Two balls are transferred at random bag A to bag B and then a ball is drawn from B at random.If the ball drawn from bag B is found to be red, find the the probability that 2red were transferred from A to B

Bag A contains 3 red and 5 black balls,while bag B contains 4 red and 4 black balls.Two balls are transferred at random from bag A to bag B and then a ball is drawn from bag B at random.If the ball drawn from bag B is found to be red,find the probability that two red balls were transferred from A to B.

Bag I contains 5 red and 4 white balls and bag II contains 3 red and 3 white balls Two balls are transferred from the bag I to the Bag ll and then one ball is drawn from bag ll lf the ball from the bag II is red then find the probability that one red ball and one white ball are transferred from the bag l to the bag II

One bag contains 3 red and 5 black balls. Another bag contains 6 red and 4 black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is red.

Bag A contains 4 red and 5 black balls and bag B contains 3 red and 7 black balls.One ball is drawn from bag A and two from bag B.Find the probability that out of 3 balls drawn,two are black and one is red.

(a) (i) Bag I contains 5 red and 3 black balls, Bag II contains 6 red and 5 black balls. One bag is chosen at random and a ball is drawn which is found to be black. Find the probability that it was drawn from Bag I, (II). (ii) Bag I contains 3 red and 5 white balls and bag II contains 4 red and 6 white balls. One of the bags is selected at random and a ball is drawn from it. The ball is found to be red. Find the probability that ball is drawn from Bag II. (b) Bag I contains 4 black and 6 red balls, bag II contains 7 black and 3 red balls and bag III contains 5 black and 5 red balls. One bag is chosen at random and a ball is drawn from it which is found to be red. Find the probability that it was drawn from bag II.

Bag l contains 5 red and 3 black balls. Bag II contains 6 red and 5 black balls. One bag is chosen at random and a ball is drawn which is found to the black. Find the probability it was drawn from bag I.

A bag contains 4 red and 4 black balls,another bag contains 2 red and 6 black balls.One of the two bags is selected at random and two balls are drawn at random without replacement from the bag and are found to be both red.Find the probability that the balls are drawn from the first bag.

MODERN PUBLICATION-PROBABILITY-Revision Exercise
  1. E and F are two events such that P(E)ne 0. Find P(F//E), if : (i) E ...

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  2. Coloured balls are distributed in four boxes as shown in the follow...

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  3. Suppose we have four boxes A,B,C and D containing coloured marbles ...

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  4. Bag I contains 3 red and 4 black balls and Bag II contains 4 red an...

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  5. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

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  6. Assume that the chances of a patient having a heart attack is 40%. ...

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  7. If each element of a second order determinant is either zero or one, ...

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  8. An electronic assembly consists of two subsystems, say, A and B. Fr...

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  9. A box contains 16 bulbs out of which 4 bulbs are defective. 3 bulbs ar...

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  10. A box contains 13 bulbs out of which 5 bulbs are defective. 3 bulbs ar...

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  11. In a game, a man wins a rupee for a six and loses a rupee for any o...

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  12. (i) A die is thrown 7 times. If getting an "even number" is "success",...

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  13. A die is thrown 3 times. Getting a multiple of 3 is considered a succe...

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  14. Six coins are tossed simultaneously. Find the probability of getting (...

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  15. A die is thrown again and again until three sixes are obtained. Fin...

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  16. An experiment succeeds twice as often as it fails. Find the probabi...

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  17. How many times must a man toss a fair com so that the probability o...

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  18. From the frequency distribution table from the following data

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  19. A man takes a step forward with probability 0.4 and backward with prob...

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  20. Out of (2n+1) tickets consecutively numbered, three are drawn at rando...

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