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
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%
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%.
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.
Independent Events
If an event is certain, the probability is 1.
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%
Independent events with a probability of zero
They are "events that have the same probability". Nothing more, nothing less.
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%.
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.
You can calculate the probability of the outcome of events.
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.
rghrugfy
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.
Independent events.
What is the difference between dependant and independent events in terms of probability
Independent Events