Question

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(Type an integer or a simplified fraction.)Help Me Solve ThisView an ExampleGet More Help -Clear All

Answer 1

Step 1;

$\text{Probability of any event = }\frac{n\text{umber or required outcome}}{n\text{umber of sample space}}$

Step 2:

$\text{Probability = number of required event/number of sample space.}$$\begin{gathered} \text{Probability of defective = }\frac{4}{10}\text{ = 0}.4 \\ \text{Probability of not defective = }\frac{6}{10}\text{ = 0.6} \end{gathered}$

Final answer

Therefore, the probability that the sample will not contain a defective computer

$=\text{ }\frac{^4C_0\times^6C_4^{}}{^{10}C4}$$\begin{gathered} =\text{ }\frac{1\text{ }\times\text{ 15}}{210} \\ =\text{ }\frac{1}{14} \end{gathered}$