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In this diagram, the circles that represent event A and event B overlap. This indicates that some of the outcomes of event A are shared by event B . |
Consider the two examples, Rolling 2 or 5 on a die and Rolling a number that is greater than 3 or an even number . What would Venn diagrams that represent these experiments look like?
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Event A is the outcome rolling 2 . This means Event B is the outcomes rolling 5 . Because these two groups do not have any common outcomes, the circles in the Venn diagram do not overlap.
Notice that 1, 3, 4, and 6 are written outside the circles but still in the rectangle. Because they are numbers on the die, they must be included in the universal set. However, they are not part of either event and cannot be inside the circles. |
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Event A is rolling greater than 3 . This represents the outcomes 4, 5, and 6. Event B is rolling even . This represents the outcomes 2, 4, and 6. Because 4 and 6 are in both events, they are placed in the Venn diagram wherethe circles overlap. These are the common elements .
Notice that 1 and 3 are written outside the circles but still in the rectangle. Because they are numbers on the die, they must be included in the universal set. However, they are not part of either event and cannot be inside the circles. |