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  • Please help! If you pickup 2 number out of the first 29 multiples of 11then what is the probabilitythat the product of these 2 numbers is 6534

If you pick up 2 number out of the first 29 multiples of 11 then what is the probability that the product of these 2 numbers is 6534

  • Option 1) 8/29C2

     

  • Option 2) 4/29C2

     

  • Option 3) 3/29C2

     

  • Option 4) 6/29C2

     

 

Answers (1)

 

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.

 

 Since 6534 = 11\times 594

= 33\times 198

= 99\times 66

\therefore Required\: Probability =\frac{3}{29_C_2}


Option 1)

\frac{8}{29C_2}

Incorrect

Option 2)

\frac{4}{29C_2}

Incorrect

Option 3)

\frac{3}{29C_2}

Correct

Option 4)

\frac{6}{29C_2}

Incorrect

Posted by

Vakul

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