SOLUTION: From past information it is known that 10 percent of the chips made by Machine A are defective and 5 percent of the chips made by Machine B are defective. A quality control engine

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Question 352696: From past information it is known that 10 percent of the chips made by Machine A are defective and 5 percent of the chips made by Machine B are defective. A quality control engineer selects two chips at random, one from Machine A and one from Machine B. Find the probability that:
a. both chips are defective

b. only the chip from Machine A is defective

c. exactly one chip is defective

d. neither chip is defective

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

P(A Bad)=0.1
P(B Bad)=0.05
.
.
a) P(A bad, B bad)=%280.1%29%280.05%29=0.005
b) P(A bad, B good)=%280.1%29%280.95%29=0.095
c) P(A bad, B good or A good, B bad)=0.095%2B0.9%280.05%29=0.095%2B0.045=0.14
d) P(A good, B good)=%280.9%29%280.95%29=0.855