A shipment of 10 computers contains 4 with defects. Find the probability that a sample of size 4, drawn from the 10, will not contain a defective computer,The probability is:

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ANSWER

[tex]P=\frac{81}{625}[/tex]

EXPLANATION

There are 4 defects out of 10 total computers. This means that there are 6 computers without defects.

The probability that 1 computer selected will not be defective is the total number of non-defective computers divided by the total number of computers:

[tex]P(one-without-defect)=\frac{6}{10}[/tex]

Therefore, if a sample of 4 computers is selected, the probability that the sample will not contain a defective computer is:

[tex]\begin{gathered} P=\frac{6}{10}\cdot\frac{6}{10}\cdot\frac{6}{10}\cdot\frac{6}{10}=(\frac{6}{10})^4 \\ P=\frac{81}{625} \end{gathered}[/tex]