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Independent and Dependent Events
Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event B. Likewise for independent events, the occurrence of event B is in no way related to the occurrence of event A.
Two events A and B are dependent events if the occurrence of one event say A is related to the occurrence of another event, say B.
MULTIPLICATION RULE: INDEPENDENT EVENTS
The joint probability of two outcomes that are independent is equal to the probability of the first outcome multiplied by the probability of the second outcome (the second outcome may be occurring simultaneously or some time in future), i.e. joint probability of two independent events is equal to the product of their marginal probabilities.
P(A and B) = P(A) . P(B)
Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int
Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans: Given : - ∠APB = 120o Construction : -Join OP To prove : -
Prove the subsequent Boolean expression: (x∨y) ∧ (x∨~y) ∧ (~x∨z) = x∧z Ans: In the following expression, LHS is equal to: (x∨y)∧(x∨ ~y)∧(~x ∨ z) = [x∧(x∨ ~y)] ∨ [y∧(x∨
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Are the following Boolean conjunctive queries cyclic or acyclic? (a) a(A,B) Λ b(C,B) Λ c(D,B) Λ d(B,E) Λ e(E,F) Λ f(E,G) Λ g(E,H). (b) a(A,B,C) Λ b(A,B,D) Λ c(C,D) Λ d(A,B,C,
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