Given that events A and B are independent with P(A)=0.4P(A)=0.4 and P(B)=0.25 P(B)=0.25, determine the value of P(A\text{ and }B)P(A and B), rounding to the nearest thousandth, if necessary.

Aprobability experiment is conducted in which the sample space of the experiment is s={7,8,9,10,11,12,13,14,15,16,17,18}, event f={7,8,9,10,11,12}, and event g={11,12,13,14}. assume that each outcome is equally likely. list the outcomes in f or g. find p(f or g) by counting the number of outcomes in f or g. determine p(f or g) using the general addition rule.