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  • I have a doubt, kindly clarify. A bag Contains 5 Red and 3 Blue balls. if 3 balls are drawnat random without replacement, the probabilityof gettingexactly oneRed ball.

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}

 

Answers (1)

best_answer

 

 

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

Posted by

divya.saini

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