# A bag Contains 5 Red and 3 Blue balls. if 3 balls are drawn at random without replacement, the probability of getting exactly one Red ball. Option 1) $\frac{45}{196}$ Option 2) $\frac{135}{92}$ Option 3) $\frac{15}{56}$ Option 4) $\frac{15}{29}$

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.

$\frac{5C_{1} \times 3C_{2}}{8C_{3}}=\frac{15}{56}$

Option 1)

$\frac{45}{196}$

This option is incorrect

Option 2)

$\frac{135}{92}$

This option is incorrect

Option 3)

$\frac{15}{56}$

This option is correct

Option 4)

$\frac{15}{29}$

This option is incorrect

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