# 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 :   Option 1) Option 2) Option 3) Option 4)

As we learnt

Probability of occurrence of an event -

Let S be the sample space then the probability of occurrence of an event E is denoted by P(E) and it is defined as

$P\left ( E \right )=\frac{n\left ( E \right )}{n\left ( S \right )}$

$P\left ( E \right )\leq 1$

$P(E)=\lim_{n\rightarrow\infty}\left(\frac{r}{n} \right )$

- wherein

Where n repeated experiment and E occurs r times.

n(S)=312

$n(E)=\ ^{12}C_{3}.2^{9}$

$P(E)=\frac{^{12}C_{3}.2^{9}}{3^{12}}=\frac{55}{3}\left(\frac{2}{3} \right )^{11}$

Option 1)

This option is correct

Option 2)

This option is incorrect

Option 3)

This option is incorrect

Option 4)

This option is incorrect

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