Home
Class 12
MATHS
Each of the n urns contains 4 white and ...

Each of the `n` urns contains 4 white and 6 black balls. The `(n+1)` th urn contains 5 white and 5 black balls. One of the `n+1` urns is chosen at random and two balls are drawn from it without replacement. Both the balls turn out to be black. If the probability that the `(n+1)` th urn was chosen to draw the balls is 1/16, then find the value of `n` .

Promotional Banner

Similar Questions

Explore conceptually related problems

Each of the n urns contains 4 white and 6 black balls. The (n + 1)th urn contains 5 white and 5 black balls. One of the n + 1 urns is chosen at random and two balls turn out to be black. If the probability that the (n + 1)th urn was chosen to draw the balls is 1/16, then find the value of n.

Suppose that an, urn B_(1) contains 2 white and.3 black balls and another urn B_(2) contains 3 white and 4 black balls. One urn is selected at random and a ball is drawn from it: If the ball drawn is found black, find the probability that the urn chosen was B_(1).

Three identical urns contain white and black balls. The first urn contains 2 white and 3 black balls, the second urn 3 white and 2 black balls and the third urn 1 black and 4 white balls. An urn is chosen at random and a ball is drawn from it. If the ball drawn is white, what is the probability that the first urn is chosen ?

One urn contains 4 white and 2 black balls. Second urn contains 5 white and 4 black balls. Two balls are transferred from the first urn to the second urn. Then one ball is drawn from the second urn. Find the probability that it is white.

An urn contains 10 white and 3 black balls.Another urn contains 3 white and 5 black balls.Two balls are drawn from the first urn and put into the second urn and then a ball is drawn from the second urn and the probability that ball drawn from 2nd urn is white.

Urn A contains 1 white, 2 black and 3 red balls urn B contains 2 white, 1 black and 1 red ball and urn C contains 4 white, 5 black and 3 red balls. One urn is chosen at random and two balls are drawn. These happen to be one white and one red. What is the probability that they come from urnA?