![]() ![]() The 4 and 6 are placed in the overlapping middle quadrant as they represent outcomes which satisfy both events. These events are not mutually exclusive because the criteria for both is fulfilled if we roll a 4 or a 6. This is written as P(A or B) = P(A) + P(B).Ĭonsider a second example where event A is chosen to be getting an even number and event B is chosen to be getting a number greater than 3. This means that the probability of A or B happening = the probability of A + the probability of B. The fact that the two circles do not overlap shows that the two events are mutually exclusive. This is represented on a Venn diagram like this: Quite clearly these events are mutually exclusive because you cannot roll both a 2 and an odd number with a single roll of a dice. Let’s say that event A is rolling an odd number and event B is rolling the number 2. If they both cannot happen at the same time then A and B are mutually exclusive. Imagine there are two events: event A and event B. In order to use Venn diagrams when talking about events, we must first understand the term 'mutually exclusive'.
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