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GATE | GATE CS Mock 2018 | Question 3

A dice is thrown. Let A be the event that the number obtained is greater than 5. Let B be the event that the number obtained is less than 5. Then P (AUB) is
(A) 5/6
(B) 2/6
(C) 3/6
(D) None of these

Answer: (A)
Explanation: Since, A{6}, and B{1, 2, 3, 4}.
Therefore, A∩B = {∅}.
So, P(A∪B) = P(A)+P(B)-P(A∩B) = 1/6 + 4/6 – 0
= 5/6

So, option (A) is correct.
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