Answer:
P=0.66
Step-by-step explanation:
We know that Among 9 electrical components, exactly one is known not to function properly. If 3 components are randomly selected.
We calculate the probability that all selected components function properly.
We calculate the number of possible combinations:
[tex]C_3^9=\frac{9!}{3!(9-3)!}=84[/tex]
We calculate the number of favorable combinations:
[tex]C_3^8=\frac{8!}{3!(8-3)!}=56[/tex]
Therefore the probability is:
[tex]P=\frac{56}{84}\\\\P=0.66[/tex]
