JEE Main | 2015ProbabilityHard

Question

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is :

Options

A.

$55 {(\frac{2}{3})}^{10}$

B.

$220 {(\frac{1}{3})}^{12}$

C.

$22 {(\frac{1}{3})}^{11}$

D.

$\frac{55}{3} {(\frac{2}{3})}^{11}$

Solution

Detailed solution available for registered users.

Create a free account to view solution

View Solution Free

Topic: Probability·Practice all Probability questions

More Probability Questions

Two real numbers, x & y are selected at random. Given that 0 ≤ x ≤ 1 ; 0 ≤ y ≤ 1. Let A be the e...The probability of defective screws in three boxes A,B,C are respectively. A box is selected at random and a screw drawn...A bag contains 5 black and 3 blue balls. Balls are drawn (without replacement) one by one. The probability of getting bl...If 12 identical balls are to be placed in 3identical boxes, then the probability that oneof the boxes contains exactly 3...A five digit number with distinct digits is formed by using the digits 0, 1, 2, 3, 4, 5. The probability that the number...