Home
Class 12
MATHS
Let n(1)and n(2) be the number of red an...

Let `n_(1)and n_(2)` be the number of red and black balls, respectively, in box I. Let `n_(3) and n_(4)` be the numbers of red and black balls, respectively, in the box II.
One of the two boxes, box I and II, was selected at random and a ball was drawn randomly our of this box. The ball was found to be red. If the probability that this red ball drawn from box II is 1/3 then the possible values of `n_(1),n_(2),n_(3)and n_(4)` is (are)

A

`n_1=3,n_2=3,n_3=5, n_4=15`

B

`n_1=3,n_2=6,n_3=10, n_4=50`

C

`n_1=8,n_2=6,n_3=5,n_4=20`

D

`n_1=6,n_2=12,n_3=5,n_4=20`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let n_1, and n_2 , be the number of red and black balls, respectively, in box I. Let n_3 and n_4 ,be the number one red and b of red and black balls, respectively, in box II. A ball is drawn at random from box 1 and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is 1/3 then the correct option(s) with the possible values of n_1 and n_2 , is(are)

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 a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

A beg contains 4 red and 4 black , another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red ?

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red ?

More than half the number of balls in a bag is red. Then the probability that a ball drawn at random is not a red ball ?

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag B.

A bag contains 3 red balls and 5 black balls . A ball is drawn at random from the bas. What is the probability that the ball drawn is (i) red ? (ii) not red ?

A Bag I contain 3 red and 4 black balls. White bag II contains 5 red 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from bag II.