Answer:
0.4444
Step-by-step explanation:
Use the following property to ease the calculation:
P(At least one)=1-P(None)
Total number of electrical components: 9
Number that does not function well :1
Number that functions well : 8
We have [tex]^8C_4=70[/tex] ways to to choose 4 good components from 8.
We have [tex]^9C_4=126[/tex] ways to choose 4 components from a total of 9.
If all function properly then none is bad, we [tex]^1C_0=1[/tex] way to do this.
P(At least one)=[tex]1-\frac{^8C_4*^1C_0}{^9C_4}[/tex]
P(At least one)=[tex]1-\frac{70*1}{126}[/tex]
P(At least one)=0.4444
Answer:
The probability is 0.44444.
Step-by-step explanation:
Among 9 electrical components exactly one is known not to function properly.
This means 8 components work properly.
If 4 components are randomly selected, the probability that at least one does not function properly is :
[tex]\frac{8c3 \times1c1}{9c4}[/tex]
= [tex]\frac{56}{126} =0.44444[/tex]
Answer: The probability is 0.44444.
