If you roll two dice what is the probability of an even sum, Mathematics

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If you roll two dice what is the probability of an even sum

In Exercise 5.2-1, let E be the event "even sum" and let F be the event "8 or more." We found the probability of the union of the events E and F. Why isn't it the case that P(E ∪ F) = P(E) + P(F)? What weights appear twice in the sum P(E) + P(F)? Find a formula for P(E ∪ F) in terms of the probabilities of E, F, and E ∩F. Apply this formula to Exercise 5.2-1. What is the value of expressing one probability in terms of three?

Exercise 1:

If you roll two dice, what is the probability of an even sum or a sum of 8 or more?

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Mathematics: If you roll two dice what is the probability of an even sum

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