Table of Contents
When are A and B mutually exclusive events?
A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P (A AND B) = 0. For example, suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, and C = {7, 9}.
What is the probability of A and B being mutually exclusive?
If two events A & B are mutually exclusive, irrespective of their individual probabilities, P (A AND B) = 0 as they have no element in common. The definition of ‘mutually exclusive’ is that if one event happens, the other cannot. By definition, the probability is therefore 0.
What is the value of P If two events are mutually exclusive?
Mutually exclusive events have no element in common, hence the name. If two events A & B are mutually exclusive, irrespective of their individual probabilities, P (A AND B) = 0 as they have no element in common. What does Google know about me? You may know that Google is tracking you, but most people don’t realize the extent of it.
What is the difference between mutually exclusive and disjoint events?
Some of them are, Two events associated with a random experiment are said to be mutually exclusive if both cannot occur together in the same trial. Mutually-exclusive events, also known as disjoint events. It is also important to distinguish between independent and mutually exclusive events.
How do you find the probability of a common event?
If A and B happen to be mutually exclusive events, then P (A ⋂ B) = 0. The probability of one or other events is equal to the sum of their separate probabilities. If in case X and Y are mutually exclusive events, then there will be no common event.
What does A and B mean in probability?
A and B or (A ⋂ B) is the event of the occurrence of both events A and B. If A and B happen to be mutually exclusive events, then P (A ⋂ B) = 0. The probability of one or other events is equal to the sum of their separate probabilities. If in case X and Y are mutually exclusive events, then there will be no common event.