winniethepooh wrote:Q.Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark". The actresses are Julia Robards, Meryl Strep, Sally Fieldstone, Lauren Bake-all, and Hallie Strawberry. Assuming that no actress has any advantage in getting any role, what is the probability that Julia and Hallie will star in the film together?
Another approach:
Let J = Julia, H = Hallie, N = neither Julia nor Hallie.
P(J or H chosen first) = 2/5. (5 actresses, among them both J and H.)
P(J or H chosen second) = 1/4. (4 actresses left, among them either J or H but not both.)
P(N is chosen third) = 3/3. (3 actresses left, neither J nor H among them, since J and H have already been chosen.)
Since the events above must happen together, we multiply the fractions:
2/5 * 1/4 * 3/3 = 1/10.
Since N can be chosen first, second, or third -- giving us three possible variations -- the result above must be multiplied by 3:
3 * 1/10 = 3/10.
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