The probability that one or both occur (A and B occur, A occur B don't, or A don't occur B occur) is 1/3.
Probability
If there are two events, there is some probabilities:
- P(AB) : A occurs, B occurs (both occur)
- P(A) : A occurs, B don't occur (one occurs)
- P(B) : A don't occur, B occurs (one occurs)
- P(0) : A don't occur, B don't occur (neither A nor B occurs)
Probability of all probabilities (the sum of 4 probabilities) is 1.
From that 4 probability, we can convert it into mathematical form:
P(AB) + P(A) + P(B) + P(0) = 1
We know that neither A nor B occurs or P(0) is 2/3.
And probability that one or both occur means:
- P(AB) : A occurs, B occurs (both occur)
- P(A) : A occurs, B don't occur (one occurs)
- P(B) : A don't occur, B occurs (one occurs)
P(AB) + P(A) + P(B) + P(0) = 1
P(AB) + P(A) + P(B) + 2/3 = 1
P(AB) + P(A) + P(B) = 1 - 2/3
P(AB) + P(A) + P(B) = 1/3
Learn more about probability here: https://brainly.com/question/11234923
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