Word Translations - Probability Problem Set #11 Pg. 93
1) The chance neither will be in the film: (3/5)(2/4)(1/3) = 1/10
2) The chance of one actress not being casted: 4/10
3) The chance the other actress will not be casted: 4/10
To make the explanation easier on me, let H stand for the actress Hallie and J for the actress Julia.
Statement (2), as you have it, also includes the case where both H and J are not chosen which is case (1) and leads to an overlap. What statements (2) and (3) should be are
(2)The chance J will not be cast AND H will be cast.
(3)The chance H will not be cast AND J will be cast.