Calculate P(A and B)
in the following scenarios:
a. P(A)=0.44,P(B)=0.92
; A
and B
are independent
P(A and B)=
0.404
Round to 3 significant digits
b. P(A)=0.68,P(B)=0.6,P(B|A)=0.06
P(A and B)=
Round to 3 significant digits
c. P(A)=0.15,P(B)=0.27,P(A|B)=0.3
P(A and B)=
Round to 3 significant digits
a. Since A and B are independent, P(A and B) = P(A) * P(B) = 0.44 * 0.92 = 0.404
b. P(A and B) = P(B|A) * P(A) = 0.06 * 0.68 = 0.0408
c. P(A and B) = P(A|B) * P(B) = 0.3 * 0.27 = 0.081