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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

User Ashutosh Pathak
by
2.6k points

1 Answer

13 votes
13 votes

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 = }(4)/(10)\text{ = 0}.4 \\ \text{Probability of not defective = }(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*^6C_4^{}}{^(10)C4}
\begin{gathered} =\text{ }\frac{1\text{ }*\text{ 15}}{210} \\ =\text{ }(1)/(14) \end{gathered}

User Niall Smart
by
2.5k points
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