Do we know if these events are independent?
1. P(A)=0.6 , P(B)=0.8 , P(A∩B)=0.5 ,compute :
i. p(A^C∩B^C) =(1-0.6)+(1-0.8) - (1-0.5)
=0.4+0.2-0.5
=0.1
i. P(B∩A^C) =[P(B)+(1-P(A))]
= 0.8+(1-0.6)
=0.8+0.4
=1.2
ii. P(A∩B^C) = P(A) – P(A∩B)
= 0.6-0.5
= 0.1
iii. P(A^CUB^C) =1-P(A∩B)
=1- 0.5
=0.5