The probability of occurrence of an event A is 5/9 . The probability of non-occurrence of the event B is 5/11. The probability that at least one of them will occur?

6/11
5/9
4/9
0.8

Correct Answer: 0.8

Explanation:

∵ P(A) = 5/9
∴ P(A) = 1- 5/9 = 4/9
∵ P(B) = 5/11
∴ P(B) = 1 - 5/11 = 6/11
Probability that none of them will occur = P(A ∩ B) = 4/9 x 5/ 11 = 20/99
Hence, Reqd. probability = 1-20/99 = 79//99
= 0.798 which is near 0.8.

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