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 Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.Updated on:21/07/2023Class...
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...
If events A and B have a joint probability Pr(A and B) = 0.3, and event B occurs with probability 0.64, what is the conditional probability Pr(A|B)? In which of the following are the two events A and B always independent? Select one: a. A and B ...
Twoevents,AandBa...Two events, A and B are independent if the probability of A and B, that is, the probability of their intersection,P(A B) = P(A) P(B). This is automatic but uninteresting if P(A) = 0 or 1, likewise for B. If 0 < P(A), P(B) <1, then an ...
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(...
The events A and B are independent such that$$ P ( A ) = x P ( B ) = x + 0 . 3 P ( A \cap B ) = 0 . 1 $$a) Find the value of x$$ P ( A \cap B ) = P ( A ) \times P ( B ) \\ 0 . 1 = x ( x + 0 . 3 ) \\ x = 0 . 2 $$For this v...
Consider events A and B. (a) If A and B are disjoint, then are they always independent? Please prove it or provide a counterexample. (b) If A ? B, then can A and B ever be independent? Please prove it Let be a sample space, and let A,B be two indepe...
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 )+ ¯A ∪B ,so P (B )=P (A ∩B )+P ¯A ∪B...
Independent Events: Two events A and B are independent if P(A∩B)=P(A)⋅P(B). Recall also that P(A∪B)=P(A)+P(B)−P(A∩B). Use this to find P(A∩B). Answer and Explanation: Rewrite the equation. {eq}P(A \cup B) = P(A) + P(B) - P(A \cap B...
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...