You have applied to three medical schools: University of California at San Fransico (UCSF), Duluth School of mind (DSM), and Havard (H). You guess that the probabilities you'll be accepted are p(UCSF) = 0.1, p(DSM)= 0.3 and p(H)= 0.5. Assume that the acceptance events are independent.
What is the probability that you get in somewhere (at least one acceptance)
What is the probability that you will be accepted by both Harvard and Duluth?