If A and B are two independent events together with ?(? ??? ?) = 0.6 and ?(?) = 0.7, calculate ?(?).
If A and B are two independent events and ?(?) = 1 2 and ?(?) = 1 5 , find ?(? ??? ?).
Given that ?(? ?? ?) = 0.86, ?(?) = 0.79, and ?(? ??? ?) = 0.41, find ?(?).
Solution :
If A and B are independent then ,
P(A and B) = P(A) * P(B)
1)
P(B) = P(A and B) / P(A) = 0.6 / 0.7 = 0.8571
2)
P(A and B) = 1/2 * 1/5 = 1 / 10
3)
P(B) = P(A OR B) + ?(? ??? ?) - P(A)
= 0.86 + 0.41 - 0.79
= 0.48
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