Question

A certain student has a .85 probability of acing her math class, a .4 probability of acing her physics class, and a .3 probability of acing both classes. What is the probability that this student will not ace math but will ace physics?

Answer 1

P( Maths)-0.85; P(Physics)-0.4 P(M and Phy)-0.3 P( Physics alone)-0.4-0.3-0.1 P(Maths alone)-0.85-0.3-0.55 P(will not ace math but will ace physics)-P Physics alone)-0.4-0.3-0.1

Answer 2

P(math) = 0.85

P(phy) = 0.4

P ( phy+math ) = 0.3

P(not passing both ) =1-(0.85 +0.4 - 0.3 )

= 0.05

now passing both = 0.3

and passing physics = 0.4

so passing only physics = 0.4 - 0.3 = 0.1