There are 3 bags which are known to contain 2 white and 3 black, 4 white and 1 black, and 3 white and 7 black ball, respectively. A ball is drawn at r

Here, `W_(1)` = {4 white balls} and `B_(1)`={5 black balls} and `W_(2)` = {9white balls} and `B_(2)` = {7 black balls} Let E, is the event that ball transferred fram...

A box = {5 blue, 4 red} Let `E_(1)` is the event that first ball drawn is blue, `E_(2)` is the event that first ball drawn is red and E...

Bag I : 3 red balls and 0 white ball Bag II : 2 red balls and 1 white ball. Bag III : 0 red ball andf 3 white balls....

Since, Bag I= {3 black, 4 white balls}, Bag II = {4 black, 3 white balls} Let `E_(1)` be the event that bag is selected and `E_(2)` be the event...

Let `U_(1)`={2 white, 3 black balls} `U_(2)`={3 white , 2 black balls} and `U_(3)`={4 white ,1 black balls} `thereforeP(U_(1))=P(U_(2))=P(U_(3))=1/3` Let `E_(1)` be the event that a ball is chosen from...

To draw 2 black, 4 white, and 3 red balls in order is same as arranging two black balls at first 2 places, 4 white balls at next 4 places,...

The urn contains 5 red and 2 black balls.  If two balls are drawn from the urn, it contains either 0 or 1 or 2 black balls.  X can take values 0,...

Number of ways of selecting r balls from a bag containing n balls `= .^(n)C_(r)` `:.` Number of ways of selecting r balls from each of two bags `= ^(n)C_(r)...

Procedure of drawing th balls has to end at the rth draw. So, exactly two black balls are drawn in first (r-1) draws and third black ball is drawn in...

Let `E_(1)` denote the event that out of the first k balls drawn, I balls are ehite, and A be the event that `(k+1)^(1)` ball drawn is also white. We...