Dependent event :)
Independent events.
Independent events.
One-way independence.
Dependent events.
If two events are independent of one another, then the outcome of one event does not depend on the outcome of the other event. Example is flipping of two coins. The second coin is not dependent on the outcome of the first flip. But if you want to know if the two coins are the same (either both heads or both tails), then that outcome is dependent on the first coin and the second coin.
Independent events.
In that case, the events are said to be independent.
Independent events.
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.
The occurrence of one event does not affect the occurrence of the other event. Take for example tossing a coin. The first toss has no affect on the outcome of the second toss, so these events are independent.
One-way independence.
Dependent events.
The outcome of either event does not depend on the outcome of the other.
Two events complementary when one event occurs if and only if the other does not. Simple event do not depend on other events, it consists of on and only one outcome Doctor Chuck aka mathdoc Two events complementary when one event occurs if and only if the other does not. Simple event do not depend on other events, it consists of on and only one outcome Doctor Chuck aka mathdoc
Independent
If two events are independent of one another, then the outcome of one event does not depend on the outcome of the other event. Example is flipping of two coins. The second coin is not dependent on the outcome of the first flip. But if you want to know if the two coins are the same (either both heads or both tails), then that outcome is dependent on the first coin and the second coin.
If two events are disjoint, they cannot occur at the same time. For example, if you flip a coin, you cannot get heads AND tails. Since A and B are disjoint, P(A and B) = 0 If A and B were independent, then P(A and B) = 0.4*0.5=0.2. For example, the chances you throw a dice and it lands on 1 AND the chances you flip a coin and it land on heads. These events are independent...the outcome of one event does not affect the outcome of the other.