If two events A and B are independent and mutually exclusive, then: A) this is impossible B) A must have a probability 1 C) both A and B must have probability 1 D) both A and B must have probability 0 E) either A or B (or both) have probabili...
A 421 B 521 C 121 D 321 Video SolutionText SolutionVerified by Experts The correct Answer is:B Show More | ShareSave Answer Step by step video, text & image solution for If the events A and B are independent if P(A')=2/3 and P(B')=2/7, then P(A nn B) is equal to by ...
Prove that if A and B are independent events, then A' and B' must also be independent. Complementary Events: When two events are said to be complementary, then the sum of their probabilities must be1and the one event is exactly the opposite of the other event. ...
I）IfeventsAandBareindependent,thenevents H OMEWORK 1.2 I)If events A and B are independent,then events ¯A and B are independent,and events ¯A and ¯B are also independent .Proof.By definition,A and B independent ⇔P (A ∩B )=P (A )P (B ).But B =(A ∩B )+ ...
If A and B are mutually exclusive eventsP(B)=P(A or B)-P(A)=0.6i)P(B')=1-P(B)=0.4ii)P(A' and B')=1-P(A or B)=0.2iii) p(A' | B')=P(A' and B')/P(B')=0.5If A and B are independent eventsP(A or B)=P(A)+P(B)-P(A and B)=P(A)+P(B)-P(...
1.If A and B are 2 independent events and P(A)=0.9 and P(not B)=0.2,find P(not A or B).2.Consider 2 independent events A and B.If P(A)=0.85 and P(B')=0.35,find P(A' and B). 相关知识点: 试题来源: 解析 最佳答案A B是2个独立事件,P(A)=0.9,P(B拔)=0.2,求P(A...
If the odds against of an event are 9 : 2, then what is the probability that the event will occur? The probabilities of the independent events A and B are .4 and .5, respectively. Find the probability of A occurring given that B has occurred. ...
Here, P(AuuB).P(A'nnB') implies{P(A)+P(B)-P(AnnB)}{P(A').P(B')} ["since A, B are independent, so A',B' are independent"] :.P(AuuB).P(A'nnB')le{P(A)+P(B)}.{P(A').P(B')} =P(A).P(A').P(B')+P(B).P(A').P(B') leP(A).P(B')+P(B).P(...
Answer to: If events A and B are mutually exclusive and both P(A) and P(B) are nonzero, then show A and B are not independent. By signing up,...
解析 C Note that events being independent means that they have no influence on each other. It does not necessarily mean that they are mutually exclusive. Accordingly, P(X or Y)=P(X)+P(Y)-P(X and Y). By the definition of independent events, P(X|Y)=P(X)....