Respuesta :
Answer:
The probability that there will be more than one Phillips head screw = 0.1803 .
Step-by-step explanation:
We are given that there are 11 two-inch screws in a box of which 4 have a Phillips head and 7 have a regular head.
We are selecting 3 screws randomly from the box with replacement, so the probability that there will be more than one Phillips head screw is given by :
- Probability of selecting two Phillips head screw.
- Probability of selecting three Phillips head screw.
Now P(selecting 2 Phillips head screw with replacement) is given by :
Selecting 2 Phillip head screw = [tex]\frac{4}{11}[/tex] * [tex]\frac{4}{11}[/tex] = [tex]\frac{16}{121}[/tex]
P(selecting three Phillips head screw) = [tex]\frac{4}{11}[/tex] * [tex]\frac{4}{11}[/tex] * [tex]\frac{4}{11}[/tex] = [tex]\frac{64}{1331}[/tex]
Therefore, Probability that there will be more than one Phillips head screw
= [tex]\frac{16}{121}[/tex] + [tex]\frac{64}{1331}[/tex] = [tex]\frac{240}{1331}[/tex] = 0.1803 .
