If you select a student at random, what is the probability that the student has gone to the beach but not to the amusement park?Suppose that among all U.S students, 80% have gone to an amusement...

If you select a student at random, what is the probability that the student has gone to the beach but not to the amusement park?

Suppose that among all U.S students, 80% have gone to an amusement park and 45% have gone to the beach. Only 15% have done neither.

Expert Answers
mcetner eNotes educator| Certified Educator

If you know there are 100% of people to chose from, and 15% have done neither, then you have 85% left. Since 80% have gone to an amusement park, only 5% have not.  These 5% have gone to the beach only.  The breakdown would be as follows:

neither: 15%

beach only: 5%

amusement park, only: 40%

both: 40%

atyourservice | Student

If you select a student at random, what is the probability that the student has gone to the beach but not to the amusement park?

Suppose that among all U.S students, 80% have gone to an amusement park and 45% have gone to the beach. Only 15% have done neither.

There are 100% of students, 15% have not gone to either meaning we are left with 85% of the students.
 
100 - 15 = 85
 
80% of those students went to the mall:
 
85 - 80 =5
 
so there is a 5% chance.
revolution | Student

There's 100% of students to choose from. Since you know that 15% of them did not do either of these places, then 85% of them might have gone to the beach or the amusement park.

Since you know that 80% of the students went to the amusement park, only 5% of them didn't, so they must have went to the beach.

The P(students went to beach is 5/100= 1/20