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What is the product rule and the sum rule of probability?
Sum Rule: P(A) = \sum_{B} P(A,B) Product Rule: P(A , B) = P(A) P(B|A) or P(A, B)=P(B) P(A|B) [P(A|B) means probability of A given that B has occurred] P(A, B) = P(A) P(B) , if A and B are independent events.
How do you find P A given B?
P(A|B)= P(A n B) / P(B) P(A n B) = probability of both A and B happening to check for independence you see if P(A|B) = P(B)
Addition rule for probability of events A and B?
If they're disjoint events: P(A and B) = P(A) + P(B) Generally: P(A and B) = P(A) + P(B) - P(A|B)
Give the example of why probabilities of A given B and B given A are not same?
Let's try this example (best conceived of as a squared 2x2 table with sums to the side). The comma here is an AND logical operator. P(A, B) = 0.1 P(A, non-B) = 0.4 P(non-A, B) = 0.3 P(non-A, non-B) = 0.2 then P(A) and P(B) are obtained by summing on the different sides of the table: P(A) = P(A, B) + P(A, non-B) = 0.1 + 0.4 = 0.5 P(B) = P(A,B) + P(non-A, B) = 0.1 + 0.3 = 0.4 so P(A given B) = P (A, B) / P (B) = 0.1 / 0.4 = 0.25 also written P(A|B) P(B given A) = P (A,B) / P (A) = 0.1 / 0.5 = 0.2 The difference comes from the different negated events added to form the whole P(A) and P(B). If P(A, non-B) = P (B, non-A) then P(A) = P(B) and also P(A|B) = P(B|A).
Definition of additive law in probability?
This has to do with the union of events. If events A and B are in the set S, then the union of A and B is the set of outcomes in A or B. This means that either event A or event B, or both, can occur. P(A or B) = P(A) + P(B) - P(A and B) **P(A and B) is subtracted, since by taking P(A) + P(B), their intersection, P(A and B), has already been included. In other words, if you did not subtract it, you would be including their intersection twice. Draw a Venn Diagram to visualize. If A and B can only happen separately, i.e., they are independent events and thus P(A and B) = 0, then, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B) - 0 = P(A) + P(B)
2000 equals p in a t?
2000 poundes in a ton
What is the answer to the analogy d is to B as r is to either p T q or P?
d is to B as r is to P
What is the Analogy for d is B as r is to p or T or q or P?
P
What is 2000 p in a t?
2000 pounds in a ton :)
. If A and B are two events in the same sample space such that P(A) = 0.52, P(B) = 0.44 and P( A ∩ B) = 0.21, find:a. P( A B )b. P( A’ ∩ B’)c. P( B’\ A’)d. P(A and B’ )?
is it illegal to put a squirrel in a t-shirt cannon and shoot it at a pedestrian
2000 P in a T?
2000 pounds in a ton
Is T P-B EPIC?
yes he is epic.
What is 2 equals P for a T B?
4
What words can be spelled with t t o w h p b you?
homosexual
What is the definition of the Book of the Dead?
t b o t d i a b w a l o p w d i m t t a l
What follows t q p h?
Errmmm... b?
If B plus P plus F equals 24 what are the values of Q and T A plus B equals Z Z plus P equals T T plus A equals F F plus S equals Q Q-T equals 7?
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