NO.PZ2015120604000168
问题如下:
You are building models for forecasting earnings per share of two construction companies, A and B. The probability that Company A's EPS will increase at the end of year is 0.45. The probability that Company B's EPS will increase at the end of year is 0.25. The probability that two companies' EPS both increase is 0.10. What is the probability that at least one of the two companies' EPS will increase according the forecasting models?
选项:
A.0.20
B.0.40
C.0.60
解释:
C is correct.
The probability that at least one of the two companies' EPS will increase=0.45+0.25-0.10=0.60
P(A)*1-P(B)+P(B)*1-P(B)+P(A B)=0.45*0.75+0.25*0.55+0.1=0.58