Question

If p(A)=0.52 p(B)=0.43 p(AuB)=0.71 find p(A'nB')​

Answer 1

Answer:

the answer is 0.24....

Answer 2

Answer:

P(A n B) = P(A) + P(B) - P(A u B)

Then using De Morgan's Law

P(A' n B') = P(A') + P(B') - P(A' u B') 

= P(A') + P(B') - P( (A n B)') 

= P(A') + P(B') - ( 1 - P( A n B) ) 

= ( 1 - P(A) ) ( 1 - P(B) ) - ( 1 - P( A n B) )

substitutes values from the first equation

final answer will be 24