What is the probability of the event that B occurs and a does not?

Complement Rule: The probability that A does not occur is equal to the probability that the complement of event A occurs. P(Ac) = 1 – P(A). Difference Rule: If A is a subset of B, then the probability of B occurring but not A is P(B) – P(A) = P(B Ac).

What does it mean for event B to be independent of event A?

Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

What is the probability of neither A nor B occurring?

If A and B are mutually exclusive events, then the probability of happening neither A nor B is. To find P(A’∩B’). Hence, the probability of happening neither A nor B is 0.2.

What is probability that an event will not happen?

A probability of 0 means that the event will not happen. For example, if the chance of being involved in a road traffic accident was 0 this would mean it would never happen. You would be perfectly safe. A probability of 1 means that the event will happen.

What does not mean in probability?

A” is the complement of A and means everything not in A. So P(A”) is the probability that A does not occur. Note that the probability that A occurs + the probability that A does not occur = 1 (one or the other must happen).

What is neither A nor B?

Neither means literally “not either”, and nor is the corresponding coordinating conjunction, similar in syntactic function to and and or. “Neither a nor b” means a is false and b is false [in formal logic, this explanation is called DeMorgan’s Law].

What is the probability that A or B occurs?

The probability that Events A or B occur is the probability of the union of A and B. The probability of the union of Events A and B is denoted by P(A ∪ B) . If the occurrence of Event A changes the probability of Event B, then Events A and B are dependent.

What is it that refers to an event which will never happen?

An event with a probability of zero [P(E) = 0] will never occur (an impossible event).