Question: Using the probabilities in Exercise 5, check the formula on the sets C = {l, 2, 3} and D = {0, 1, 2}. The following

Using the probabilities in Exercise 5, check the formula on the sets C = {l, 2, 3} and D = {0, 1, 2}.
The following formula gives the probability of the union of any two events, whether or not they are disjoint,
Pr(A ‹ƒ B) = Pr(A) + Pr(B) - Pr(A ‹‚ B).
As indicated in the figure, adding the area in A and B counts the area in the intersection A ‹‚ B twice. Subtracting the area of the intersection corrects for this double counting.

Test this formula on the above example.

A n B counted twice

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