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What are dependent and independent probability in math terms?
Two events are said to be independent if the outcome of one event does not affect the outcome of the other. Their probabilities are independent probabilities. If the events are not independent then they are dependent.
When one event affects another event the two events are called what?
Dependent.
What Event whose probability depends on one or more independent events is a?
dependent event
Is there just one way of computing the probability of dependent events?
No, there isn't just one way of computing the probability of dependent events. One common method is to use the formula ( P(A \cap B) = P(A) \times P(B|A) ), where ( P(B|A) ) is the conditional probability of event B given that event A has occurred. Another approach involves constructing a probability tree or using joint probability tables, especially when dealing with multiple dependent events. The choice of method often depends on the context and the complexity of the events involved.
Can independent events exist in reality?
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.
Events for which the outcome of one event affects the probability of the other?
Dependent events.
What are dependent and independent probability in math terms?
Two events are said to be independent if the outcome of one event does not affect the outcome of the other. Their probabilities are independent probabilities. If the events are not independent then they are dependent.
Which set of events is an example of dependent events?
A dependent event is one that relies on something else to happen. For instance with a mouse trap the trap closing "depends" on the trigger being activated.
When one event affects another event the two events are called what?
Dependent.
What Event whose probability depends on one or more independent events is a?
dependent event
What is two events in which the outcome of one event does not affect the outcome of the other event?
Dependent event :)
Is there just one way of computing the probability of dependent events?
No, there isn't just one way of computing the probability of dependent events. One common method is to use the formula ( P(A \cap B) = P(A) \times P(B|A) ), where ( P(B|A) ) is the conditional probability of event B given that event A has occurred. Another approach involves constructing a probability tree or using joint probability tables, especially when dealing with multiple dependent events. The choice of method often depends on the context and the complexity of the events involved.
If two events are mutually exclusive then they must be dependent?
No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.
Is spinning a spinner and then rolling a die independent or dependent?
These are independent events; neither one depends on the results of the other.
Can independent events exist in reality?
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.
Among the contestants in a competition are 49 women and 29 men so if 5 winners are randomly selected what is the probability that they are all men?
(29/78)*(28/77)*(27/76)*(26/75)*(25/74) = .0056252425 two events are dependent if the outcome of one event affects the probability of the other events. The probability that dependent events A and B occur together is P(A and B) = P(A) * P(B given A)
Who has won all ten events in the decathlon?
No one on a national or international level has won all ten events in one given decathlon.
