In a study of honeymoon vacations for newlyweds in the united states, it was determined that 79% take place outside of the country, 64% last longer than 7 days, and 50% are both outside the country and last longer than 7 days. find the following probabilities: (a) what is the probability that a honeymoon vacation takes place outside of the country or lasts longer than 7 days? (b) what is the probability that a honeymoon vacation lasts longer than 7 days given that it takes place outside of the country? (c) what is the probability that a honeymoon vacation takes place outside of the country given that it does not last longer than 7 days?

Step-by-step explanation:

Given that in a study of honeymoon vacations for newlyweds in the United States, it was determined that 79% take place outside of the country, 64% last longer than 7 days, and 50% are both outside the country and last longer than 7 days.

Let A - honey moon outside country

B - last longer than 7 days

Then

a)  the probability that a honeymoon vacation takes place outside of the country or lasts longer than 7 days

b) the probability that a honeymoon vacation lasts longer than 7 days given that it takes place outside of the country

=

c) the probability that a honeymoon vacation takes place outside of the country given that it does not last longer than 7 days

=