All airline passengers must pass through security screenings

All airline passengers must pass through security screenings but some are subjected to additional searches as well. Some travelers who carry laptops wonder if that makes them more likely to be searched. Data for 444 passengers aboard a cross country flight are summarized in the table shown.

               Additionally Searched          Not additionally searced               Total

Carried laptop       30                                              42                                      72

Did not               155                                           217                                      372

total                    185                                          259                                       444

What is the probability that a random selected passenger on the cross country flight

a.) were subjected to additional searches and did not carry a laptop

b,) were carrying a laptop or additionally searched

d.) Given a passenger was carrying a laptop what is the probability they were additionally searched?

Having trouble distinguishing between and/or/given probabilities

Solution