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.
The probability of event X is 0.3. If events X and Y are complements, what is the probability of event Y?
These events are complementary. Let P(A) = probability event will occur. Then the probability it will not occur is: 1 - P(A).
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%.
If an event is certain, the probability is 1.
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.
A disjoint event is an event that can not happen at the same time
The probability of event X is 0.3. If events X and Y are complements, what is the probability of event Y?
Yes.
"or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events."or" is used in the context of sets [of events] rather than probability (and certainly not probibility!),An event described as A or B means either event A or event B or both events.
These events are complementary. Let P(A) = probability event will occur. Then the probability it will not occur is: 1 - P(A).
dependent event
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%.
That's the probability that both events will happen, possibly even at the same time. I think it's called the 'joint' probability.
If an event is certain, the probability is 1.
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.
The probability of an impossible event is 0.The probability of an impossible event is 0.The probability of an impossible event is 0.The probability of an impossible event is 0.
It is true.