How are your grades? In a recent semester at a local university,

500

students enrolled in both Statistics

I

and Psychology

I

. Of these students,

78

got an A in statistics,

77

got an A in psychology, and

43

got an A in both statistics and psychology. Round the answers to four decimal places, as needed.

Part 1 of 2

(a) Find the probability that a randomly chosen student got an A in statistics or psychology or both.

The probability that a randomly chosen student got an A in statistics or psychology or both is .

Part 2 of 2

(b) Find the probability that a randomly chosen student did not get an A in psychology.

The probability that a randomly chosen student did not get an A in psychology is

.