2015
Mathematics
67ca00ce0c643c71d77dee1f
The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?
A.
1/2
B.
1/3
C.
2/5
D.
3/4
Correct Answer: 1/3
Explanation
Prob.(A outcome) = 1/6 , Prob.(B outcome) = ¼ P(A ∪ B) = 1/12, Prob.(A ∩ B) Prob.(A ∩ B) = Prob.(A) + Prob.(B) − Prob.(A ∪ B) 1/6 + 1/4 − 1/12 = (2 + 3 − 1) ÷ 12 = 4/12 = 1/3 Prob.(A ∩ B) = 1/3
Prob.(A outcome) = 1/6 , Prob.(B outcome) = ¼ P(A ∪ B) = 1/12, Prob.(A ∩ B) Prob.(A ∩ B) = Prob.(A) + Prob.(B) − Prob.(A ∪ B) 1/6 + 1/4 − 1/12 = (2 + 3 − 1) ÷ 12 = 4/12 = 1/3 Prob.(A ∩ B) = 1/3THIS WEEK's
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