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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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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-MOCK TEST (Answer the following questions)
  1. Find intxcosxdx

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  2. Find: int(x^(3))/(sqrt(1-x^(8)))dx.

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  3. int1/(sqrt(5-4x-2x^2))dx

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  4. Find the integrating factor of xlogx(dy)/(dx)+y=2-logx.

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  5. If tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/(x+4))=(pi)/(4), find the valu...

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  6. Let T be the set of all triangles in a plane with R a relation in T g...

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  7. Find (dy)/(dx), when: (cosx)^(y)=(cosy)^(x)

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  8. Find the equation of the tangent to the curve x^(2) + 3y = 3, which is...

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  9. Prove that: [vec(a)" "vec(b)" "vec( c )+vec(d)]=[vec(a)" "vec(b)" "vec...

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  10. Find the values of lamda and mu for which (2hat+6hatj+27hatk)xx(hati+l...

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  11. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance...

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  12. If A and B are two independent events, then the probability of occu...

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  13. Let f: W to W be defined by: f(n)={{:(n-1",","if n is odd"),(n+1",","i...

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  14. Differentiate sin^(-1)((2^(x+1))/(1+4^(x))) w.r.t. x.

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  15. If y={"log"(x+sqrt(x^2+1))}^2,"s h o wt h a t"(1+x^2)(d^2y)/(dx^2)+x(...

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  16. Find the general solution of the differential equation: cos^(2)x(dy)/(...

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  17. Evaluate the definite integrals int0pi/2(cos^2x dx)/(cos^2x+4sin^2x...

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

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  19. three numbers are selected at random (without replacement) from first ...

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  20. A factory manufactures two types of screws, A and B. Each type of scre...

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