Question 1018104
the probability of the bags being checked is .4


the probability of the bags not being checked is therefore 1 - .4 = .6.


the total probabilities are as follows:


probability of bags being checked going only is .4 * .6 = .24
probability of bags being checked coming back only is .6 * .4 = .24
probability of bags being checked both ways is .4 * .4 = .16
probability of bags not being checked both ways is .6 * .6 = .36


total probability is 1 as it should be.


since the probability they will be checked going is .24 and the probability they will be checked coming back is .24, then the probability they will be checked either going or coming is .24 + .24 = .48.