SOLUTION: suppose that E and F are two events and that P(e and f)=0.2 and P(e)=0.5. What is P(f|e)?

Algebra ->  Probability-and-statistics -> SOLUTION: suppose that E and F are two events and that P(e and f)=0.2 and P(e)=0.5. What is P(f|e)?      Log On


   

Question 1154596: suppose that E and F are two events and that P(e and f)=0.2 and P(e)=0.5. What is P(f|e)?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

In accordance with the definition of the conditional probability,


    P(f|e) = P(e and f) / P(e).


Substitute the given values into the formula and get


    P(f|e) = 0.2%2F0.5 = 0.4.     ANSWER

Solved.

-------------------

On conditional probability,  see the lessons
    - Conditional probability problems
    - More conditional probability problems
in this site.