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in a list of an integral, 3 of the integers are even, and the rest are odd. if an integral is selec6 is 4/5 that the integer will be odd. how many integral are in the list.



Answer :

Let there are x integers in the list.

The number of odd integers is x - 3.

The probability for odd integers is,

[tex]\frac{x-3}{x}[/tex]

The equation for the x is,

[tex]\frac{x-3}{x}=\frac{4}{5}[/tex]

Simplify the equation to obtain the value of x.

[tex]\begin{gathered} \frac{x-3}{x}=\frac{4}{5} \\ 5(x-3)=4x \\ 5x-15=4x \\ 5x-4x=15 \\ x=15 \end{gathered}[/tex]

So, number of integers in the list are 15.

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