Three balls marked with 1, 2 and 3 are placed in an urn. One ball is drawn, its number is noted, then the ball is returned to the urn. This process is

Question

Three balls marked with 1, 2 and 3 are placed in an urn. One ball is drawn, its number is noted, then the ball is returned to the urn. This process is

Three balls marked with 1, 2 and 3 are placed in an urn. One ball is drawn, its number is noted, then the ball is returned to the urn. This process is repeated and then repeated once more. Each ball is equally likely to be drawn on each occasion. If the sum of the number noted is 6, then the probability that the ball numbered with 2 is drawn at all the three occassion, is
A. `(1)/(27)`
B. `(1)/(7)`
C. `(1)/(6)`
D. `(1)/(3)`

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

Related Questions

A bag contains 16 red balls, 8 green balls and 6 blue balls. One ball is drawn at random. The probability that it is blue ball is

2 Answers 6 Views

A box has 5 blue and 4 red balls. One ball is drawn at random and replaced. Its colour is also not noted. Then, another ball is drawn at random. What

2 Answers 6 Views

An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k balls of the same colour as that of the

2 Answers 7 Views

Three bags contain a number of red and white balls as follows Bag I : 3 red balls, Bag II : 2 red balls and 1 white balls and Bag III : 3 white balls.

2 Answers 10 Views

An urn contains 5 red and 2 black balls. Two balls are drawn at random. X denotes the number of black balls drawn.

2 Answers 4 Views

A bag contains `W` white and 3 black balls. Balls are drawn one by one without replacement till all the black balls are drawn. Then find the probabili

2 Answers 8 Views

An urn contains 6 white and 4 black balls. A fair die is rolled and that number of balls we chosen from the urn. Find the probability that the balls s

2 Answers 4 Views

From an urn containing a white b black balls, k balls are drawn and laid aside, their colour unnoted. Then one more ball is drawn. Find the probabilit

2 Answers 5 Views

There are two urns `Aa n dB` . Urn `A` contains 5 red, 3 blue and 2 white balls, urn `B` contains 4 re3d, 3 blue, and 3 white balls. An urn is chosen

2 Answers 4 Views

An urn contains three red balls and n white balls. Mr. A draws two balls together from the urn. The probability that they have the same color is `1//2

2 Answers 10 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
Since the sum of the noted numbers is 6, the number on the balls are either 1, 2, 3 or 2, 2, 2.
So, total number of cases = `3! + = 7`
So, the required probability = `1//7`

6 views Answered 2023-02-05 15:29