Of the 150 students interviewed, 50 applied for the computer major,60 for math and 40 for Physics.14 applied for Computer and Math,13 for Math and Physics,11 for Physics and Computers and 10 applied for these 3 subjects. What is the probability that a student chosen at random applied for:
(a)neither of the 3 subjects
(b)Math and physics but not Computers?
(c)Math given that he/she chose Computers?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.