Hello, kittysnyde!

Thank you for showing your work!

1) A university requires a student to take a math placement test

and a computer science placement test.

80% of the students who take both tests pass either the math or the science test.

60% pass the math, and 40% pass the science.

What is the probability that the student will pass both?

. . . . .

Therefore: .

Your answer to #2 is correct!

Let: = stock A rises, = stock B rises.3) Jason owns two stocks.

There is an 80% probability that stock A will rise in price,

while there is a 60% probability that stock B will rise in price.

There is a 40% chance that both stocks will rise in price.

Are the stocks independent?

If the events are independent, then: .

. . We are given: .

. . And: .

No, they areindependent.not