Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityConditional probabilityHard2 minPYQ_2015

MathematicsHardsingle choice

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:

Answer:

Solution:

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 $= \frac{5}{19}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability

⏱ 2mℹ️ Source: PYQ_2015

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