2. 职称英语
  3. Consider an experiment with events A, B, C and D for which P (A)=0.23, P(B)=0.59

Consider an experiment with events A, B, C and D for which P (A)=0.23, P(B)=0.59

游客2024-01-12  20
问题 Consider an experiment with events A, B, C and D for which P (A)=0.23, P(B)=0.59, and P (C) = 0.85, P(D)=0.11. Suppose that events A and B are mutually exclusive and events C and D are independent.
Quantity A: P(A or B)
Quantity B: P(C or D)
选项 A、Quantity A is greater.
B、Quantity B is greater.
C、The two quantities are equal.
D、The relationship cannot be determined from the information given.
答案 B
解析 A与B事件互斥，则P(A and B)=0，则P(A or B)=P(A)+P(B)-P(A and B)=0.23+0.59-0=0.82；C与D事件独立，则P(C and D)=P(C)×P(D)，则P(C or D)=P(C)+P(D)-P(C and D)=0.85+0.11-0.85×0.11=0.8665。0.82＜0.8665，所以选B。
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