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Two events A and B with probability 0.5 and 0.7 respectively have joint probability of 0.4 The probability that neither A nor B happens is?
Wiki User
∙ 12y ago
Let me denote -A as the event that A does not happen. So we want Pr[-(A and B)]
Now, the event that neither A nor B occurs is the opposite of either A occurring, or B occurring or both occurring.
So Pr[-(A and B)] = 1 - Pr(A or B)= 1 - [Pr(A) + Pr(B) - Pr(A and B)] (since A+B is double counted)= 1 - (0.5 + 0.7 - 0.4)= 1 - 0.8= 0.2
Wiki User
∙ 12y ago
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What is the probability of two events happening together when on their own the first event happens 75 and the second event happens 50?
If the two events are independent then the probability of them both happening is Pr(event1) X Pr(event2). Which in your case is 0.75x0.50=0.375 which translates into 37.5%
If two events are independent the probability that both occur is?
That probability is the product of the probabilities of the two individual events; for example, if event A has a probability of 50% and event B has a probability of 10%, the probability that both events will happen is 50% x 10% = 5%.
How often is the probability of the complement of an event less than the probability of the event itself?
It depends on the events. The answer is 0.5*(Total number of events - number of events with probability = 0.5) That is, discount all events such that their probability (and that of their complement) is exactly a half. Then half the remaining events will have probabilities that are greater than their complement's.
Events that have no effect on each others probability?
Independent Events
What is the definition of sure or certain events in probability?
If an event is certain, the probability is 1.
What is the probability of two events happening together when on their own the first event happens 75 and the second event happens 50?
If the two events are independent then the probability of them both happening is Pr(event1) X Pr(event2). Which in your case is 0.75x0.50=0.375 which translates into 37.5%
If the probability of two events occurring together is 0 the events are called .?
Independent events with a probability of zero
What is events that have the same probability?
They are "events that have the same probability". Nothing more, nothing less.
If two events are independent the probability that both occur is?
That probability is the product of the probabilities of the two individual events; for example, if event A has a probability of 50% and event B has a probability of 10%, the probability that both events will happen is 50% x 10% = 5%.
How often is the probability of the complement of an event less than the probability of the event itself?
It depends on the events. The answer is 0.5*(Total number of events - number of events with probability = 0.5) That is, discount all events such that their probability (and that of their complement) is exactly a half. Then half the remaining events will have probabilities that are greater than their complement's.
What can be done with the principle of probability?
You can calculate the probability of the outcome of events.
Is a tree diagram a experimental or theoretical probability?
Neither. A tree diagram is usually constructed from some information about the probability of various outcomes. That information may be experimental (empiracal) or theoretical or even a mixture of the two for the different sub-events.
Why is the probability of the intersection of two events subtracted in the sum of the probability of two events?
rghrugfy
What does complementary mean when your talking about probability?
Two events A and B or complementary if A and B are "opposites". If A happens it means that B cannot happen and if B happens it means that A cannot happen.
What events are such that the occurrence of one does not change the probability of other events?
Independent events.
Events that have no effect on each others probability?
Independent Events
What is the difference between dependent and independent events in terms of probability?
What is the difference between dependant and independent events in terms of probability
