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Two events are equally unlikely if the probability that they do not happen is the same for each event. And, since the probability of an event happening and not happening must add to 1, equally unlikely events are also equally likely,
Two events are said to be independent if the result of the second event is not affected by the result of the first event. Some common ways to teach this are to perform simulations with coin flips.Students need to understand that if A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events.Students can predict and then observe probabilities of a fixed number of heads or tails.This lets then see the ideas in action.
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.