Independent events.
Dependent events.
Dependent event :)
When an event is repeated, the probability of it occurring is squared. For instance, if an outcome had the probability of 1/4, then the outcome happening twice would have a probability of 1/16. Note, however, that this does not mean that the second event has different probabilities. That particular outcome will always be 1/4, regardless of anything that happened before it.
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.
They are independent, because the probability of the first event does not affect the probability of the second event.
Dependent 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.
Dependent event :)
In that case, the events are said to be independent.
When an event is repeated, the probability of it occurring is squared. For instance, if an outcome had the probability of 1/4, then the outcome happening twice would have a probability of 1/16. Note, however, that this does not mean that the second event has different probabilities. That particular outcome will always be 1/4, regardless of anything that happened before it.
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.
event
It is an impossible event - which has probability zero.
They are independent, because the probability of the first event does not affect the probability of the second event.
False. Probability only predicts the outcome. It does not assure the outcome.
Dependent probability is the probability of an event which changes according to the outcome of some other event.