If 5 of a Company's 10 delivery trucks do not meet emission...

If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards?

Options

A $\frac{1}{8}$
B $\frac{3}{8}$
C $\frac{1}{12}$
D $\frac{1}{4}$

Correct answer

C. $\frac{1}{12}$

Step-by-step solution

P

(None meets emission standard)

=\frac{5}{10} \times \frac{4}{9} \times \frac{3}{8}=\frac{1}{12}

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