A and B are two events such that P(A) = 0.50, P(B) = 0.30 and P(A and B) = 0.10.
'Find (i) P(A but not B) (ii) P(neither A nor B)
0.40 0.30

Question

A and B are two events such that P(A) = 0 50, P(B) = 0 30 and P(A
and B) = 0 10
'Find (i) P(A but not B) (ii) P(neither A nor B)
0 40 0 30

Aarushi Mishra · Accepted Answer

PA=0 50PB=0 30PA and B=PA∩B=0 10i
PA but not B=PA∩B=PA-PA∩B=0 50-0 10=0
40ii
Pneither A nor B=PA∩BBy demorgan's law=PA∪B=1-PA∪B=1-PA+PB-PA∩B=1-0
50+0 30-0 10=1-0 70=0 30

A and B are two events such that P(A) = 0.50, P(B) = 0.30 and P(A and B) = 0.10. 'Find (i) P(A but not B) (ii) P(neither A nor B) 0.40 0.30

A and B are two events such that P(A) = 0.50, P(B) = 0.30 and P(A and B) = 0.10.
'Find (i) P(A but not B) (ii) P(neither A nor B)
0.40 0.30