(A' ∩ B') = (A È B)'
P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).
the n partition of A , in B , so the results of summation of all Ai's probabilities which individually intersect with B divided by probability of B is totals theorem, so simply we say if you want to find the probability of any partition is bays theorem and if you have partitions and wants to find the probability of A is Totals theorem. (S.M SINDHI QUCEST LARKANA)
a and b both have the probability of 3/4
The following answer is correct only if b is the measure of an angle in degrees. The complement is 90-43 = 47 degrees.
P(A given B')=[P(A)-P(AnB)]/[1-P(B)].
P(A given B')=[P(A)-P(AnB)]/[1-P(B)].In words: Probability of A given B compliment is equal to the Probability of A minus the Probability of A intersect B, divided by 1 minus the probability of B.
Prob(A given B) = Prob(A and B)/Prob(B)
If A and B are independent, then you can multiply the two probabilities
Define your event as [A occurs and B does not occur] or as [A occurs and B' occurs] where B' is the complement of B. Equivalently, this is the event that [A and B' both occur].
(A' ∩ B') = (A È B)'
The probability of event A occurring given event B has occurred is an example of conditional probability.
With probability ratios the value you get to describe the strength of the relationship when you compare (A given B) to (A given not B) is not the same as what you get when you compare (not A given B) to (not A given not B). This is, IMHO, a big problem. There is no such problem with odds ratios.
Given two events, A and B, the conditional probability rule states that P(A and B) = P(A given that B has occurred)*P(B) If A and B are independent, then the occurrence (or not) of B makes no difference to the probability of A happening. So that P(A given that B has occurred) = P(A) and therefore, you get P(A and B) = P(A)*P(B)
Given two events, A and B, the probability of A or B is the probability of occurrence of only A, or only B or both. In mathematical terms: Prob(A or B) = Prob(A) + Prob(B) - Prob(A and B).
Pr(A | B)
P(A'/B)=P(A'nB)/P(B)