Question

Among 9 electrical components exactly one is known not to function properly. If 3 components are randomly selected, find the probability that all selected components function properly.

Answer 1

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:

$C_3^9=\frac{9!}{3!(9-3)!}=84$

We calculate the number of favorable combinations:

$C_3^8=\frac{8!}{3!(8-3)!}=56$

Therefore the probability is:

$P=\frac{56}{84}\\\\P=0.66$