JEE Main 2015MathematicsProbabilityHardMCQ

JEE Main 2015 — Probability Question with Solution

JEE Main 2015 (04 Apr)

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

Choose an option

Show full solutionCorrect option: B
Correct answer
B519

Step-by-step explanation

B1      B2      B3

12      0         0

11       1        0

10       1        1

10       2        0

9         3        0

9         2        1

8         4        0

8         3        1

8         2        2

7         5        0

7         4        1

7        3         2

6        6         0

6        5         1

6        4         2

6        3         3

5        5        2

5         4        3

4         4        4

Total number of possibilities=19.

Number of favourable case =5

Required probability =519

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About this question

This is a previous-year question from JEE Main 2015, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.