Dylan, a high school senior has applied to four different colleges. These are MIT, Harvard, Princeton, and John Jay. Based upon his high school record he estimates that he has a .17 probability of being accepted at MIT, a .13 probability of being accepted at Harvard, a .10 probability of being accepted at Princeton, and a .59 probability of being accepted at John Jay. Because colleges do not communicate with one another in admissions, acceptance at one college is independence of acceptance at another school. a. What is the probability that Dylan is accepted at none of the four schools? b. What is the probability that Dylan is accepted at all four of the schools? c. What is the probability that Dylan is accepted in at least one of the four schools
Dylan, a high school senior has applied to four different colleges. These are MIT, Harvard, Princeton, and John Jay. Based upon his high school record he estimates that he has a .17
a. What is the probability that Dylan is accepted at none of the four schools?
b. What is the probability that Dylan is accepted at all four of the schools?
c. What is the probability that Dylan is accepted in at least one of the four schools
d. What is the probability that Dylan is accepted at both Harvard and Princeton?
e. What is the probability that Dylan is accepted at either Harvard or Princeton?
f. What is the probability that Dylan is only accepted at John Jay?
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