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Rus_ich [418]
3 years ago
10

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

bability that all selected components function properly.
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

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

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