SOLUTION: Supppse that E and F are two events and that P(E) = 0.28 and P(F|E) = 0.7 What is P(E and F)

Algebra.Com
Question 1200947: Supppse that E and F are two events and that P(E) = 0.28 and P(F|E) = 0.7 What is P(E and F)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The conditional probability  P(E|F) is the ratio

    P(F|E) = .


which, with the given values, is

    0.7 = .


From this equation, we find   P(E and F) = 0.7*0.28 = 0.196.


ANSWER.  P(E and F) = 0.196.

Solved.



RELATED QUESTIONS

Suppose that E and F are two events and that P(E)=0.4 and P(F|E)=0.5. What is P(E and... (answered by MathLover1)
Suppose that E and F are two events and that P(E and F)=0.1 and P(E)=0.2. What is P(F/E)? (answered by jim_thompson5910)
Suppose that E and F are two events and that P(E and F)=0.5 and P(E)=0.8 What is P(F|E)... (answered by Glaviolette)
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)? (answered by Theo)
suppose that E and F are two events and that P(e and f)=0.2 and P(e)=0.5. What is... (answered by ikleyn)
I am stumped suppose that E and F are two equal events anf that P(e) =.5 and PE/F)=.7... (answered by greenestamps)
E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F) (answered by ikleyn)
Suppose that events E and F are​ independent, ​P(E)=0.4​, and... (answered by ikleyn)
Suppose that E and F are Two event and that P (E and F) = 0.4 and P(E)= 0.8 what is... (answered by ikleyn)