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.
Independent Events
Two events are independent if the outcome of one has no effect on the probability of the outcomes for the other.
Independent events.
The probability of two independent events occurring together is the product of both events. yw lazy odyssey users like me :)
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%.
What is the difference between dependant and independent events in terms of probability
Independent events with a probability of zero
Independent Events
Independent events.
The answer depends on whether or not the events are independent.
Two events are independent if the outcome of one has no effect on the probability of the outcomes for the other.
Yes. Independent events can exist in reality. Dependent events means that one event has had an effect on the other. For instance, if we look at the probability of someone going to the shops, and the probability of them buying an apple, the latter is clearly dependent on the former. Independent events are simply events that don't have this connection. The probability of one does not influence or predict the probability of the other. For instance, if I studied the probability of you going to see a film on a particular day, and the probability of someone in China getting a hole in one in golf, these are very clearly independent events.
It may or may not be - it depends on the events.
Independent events.
It depends on whether or not the events are independent.
The probability of two independent events occurring together is the product of both events. yw lazy odyssey users like me :)
Two independent events occurring.