Olivia selects three numbers randomly from the following set of 5 numbers : 7, 8, 6, 9, 13
She puts them in the form of a _^b/c   (a whole b by c)
Whats the probability that she will get a fraction more that 153/22?

Dear Student,

Please find below the solution to the asked query:

Given : Olivia selects three numbers randomly from the following set of 5 numbers : 7, 8, 6, 9, 13

And She puts them in the form of  $\mathrm{a}\frac{\mathrm{b}}{\mathrm{c}}$

And to find probability that she will get a fraction more that $\frac{153}{22}$ we write that fraction in mixed fraction , As :

$\frac{153}{22} = \frac{132 + 21}{22} = \frac{132}{22} + \frac{21}{22} = 6+\frac{21}{22} =\mathbf{ }\mathbf{6}\frac{\mathbf{21}}{\mathbf{22}}$

But from given numbers 7, 8, 6, 9, 13 we can form number in the form of  $\mathrm{a}\frac{\mathrm{b}}{\mathrm{c}}$ is always greater than given fraction $\frac{153}{22}$

So,

Probability that she will get a fraction more that $\frac{153}{22}$ = 1                                              ( Ans )


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