SOLUTION: suppose that e and f are two events and that p(e)=0.2 and p(f|e)=0.4. what is p(e and f)?

Algebra ->  Probability-and-statistics -> SOLUTION: suppose that e and f are two events and that p(e)=0.2 and p(f|e)=0.4. what is p(e and f)?       Log On


   

Question 1154597: suppose that e and f are two events and that p(e)=0.2 and p(f|e)=0.4. what is p(e and f)?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
p(f given e) = p(e and f) / p(e)
p(f given e) = .4
p(e) = .2
p(f given e) = p(e and f) / p(e) becomes:
.4 = p(e and f) / .2
solve for p(e and f) to get:
p(e and f) = .2 * .4 = .08
that should be your solution.