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What is the difference between the multiplication rule for independent versus dependent events?
Given two events, A and B, Pr(A and B) = Pr(A)*Pr(B) if A and B are independent and Pr(A and B) = Pr(A | B)*Pr(B) if they are not.
How do you draw a Venn diagram to the probability of two independent events a and b?
the circles do not overlap at all.
How do you find the probability of independent and dependent events?
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...).
What does or mean in probibility?
"or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events.
Do you multiply for dependent events?
No, you multiply for independent events.
Definition of independent events?
when the occurance of an event B is not affected by the occurance of event A than we can say that these events are not dependent with each other
What is the difference between the multiplication rule for independent versus dependent events?
Given two events, A and B, Pr(A and B) = Pr(A)*Pr(B) if A and B are independent and Pr(A and B) = Pr(A | B)*Pr(B) if they are not.
How can the rule for the probability of 2 independent events be extended to 4 or 5 independent events?
p(A and B) = p(A) x p(B) for 2 independent events p(A and B and ...N) = p(A) x p(B) x p(C) x ...x p(N) In words, if these are all independent events, find the individual probabilities if each and multiply them all together.
If A and B are independent events then are A and B' independent?
if P(A)>0 then P(B'|A)=1-P(B|A) so P(A intersect B')=P(A)P(B'|A)=P(A)[1-P(B|A)] =P(A)[1-P(B)] =P(A)P(B') the definition of independent events is if P(A intersect B')=P(A)P(B') that is the proof
Suppose A and B are independent events. If p a 0.3 and what is?
.7
How do you draw a Venn diagram to the probability of two independent events a and b?
the circles do not overlap at all.
Prove that the complement of A and B are independent events?
first prove *: if A intersect B is independent, then A intersect B' is independent. (this is on wiki answers) P(A' intersect B') = P(B')P(A'|B') by definition = P(B')[1-P(A|B')] since 1 = P(A) + P(A') = P(B')[1 - P(A)] from the first proof * = P(B')P(A') since 1 = P(A) + P(A') conclude with P(A' intersect B') = P(B')P(A') and is therefore independent by definition. ***note*** i am a student in my first semester of probability so this may be incorrect, but i used the first proof* so i figured i would proof this one to kinda "give back".
How do you find the probability of independent and dependent events?
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...).
What does or mean in probibility?
"or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events.
Event A has probability 0.4 event B has probability 0.5 If A and B are disjoint then the probability that both events occur is?
If two events are disjoint, they cannot occur at the same time. For example, if you flip a coin, you cannot get heads AND tails. Since A and B are disjoint, P(A and B) = 0 If A and B were independent, then P(A and B) = 0.4*0.5=0.2. For example, the chances you throw a dice and it lands on 1 AND the chances you flip a coin and it land on heads. These events are independent...the outcome of one event does not affect the outcome of the other.
How do historians refer to independent events that occur or change together but do not affect one another?
Concurrent independent events or simultaneous independent events
For two independent events a and b p a or b equals 0.61 pa equals 0.40 and pb equals 0.35?
apex XD 0.140.14
