Given: P(A) = 0.4 , P(B) = 0.8
To find : P(A and B')
Solution: Statement 1 : Since P(A) and P(B) are independent , P(A and B) = P(A) * P(B)
--> We can calculate P(A and B'). Hence sufficient
Statement 2 : Given that P(A)*P(B|A) = 0.32 ----> P(B|A) = 0.32/P(A) = 0.32/0.4 = 0.8
But P(B) = 0.8 Hence P(A) and P(B) are independent. Using same method as in statement 1,
it is
...
To find : P(A and B')
Solution: Statement 1 : Since P(A) and P(B) are independent , P(A and B) = P(A) * P(B)
--> We can calculate P(A and B'). Hence sufficient
Statement 2 : Given that P(A)*P(B|A) = 0.32 ----> P(B|A) = 0.32/P(A) = 0.32/0.4 = 0.8
But P(B) = 0.8 Hence P(A) and P(B) are independent. Using same method as in statement 1,
it is
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