SOLUTION: If P(E) = 0.40, P(EorF) = 0.50 , and P(E and F)=0.10 , find P(F)

Algebra.Com
Question 1176343: If P(E) = 0.40, P(EorF) = 0.50 , and P(E and F)=0.10 , find P(F)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Use the identity


    P(E or F) = P(E) + P(F) - P(E and F).


Substitute the given values


    0.5 = 0.4 + P(F) - 0.1.


From the last equation get


    P(F) = 0.5 - 0.4 + 0.1 = 0.2.      ANSWER

Solved, explained, answered and completed.



RELATED QUESTIONS

if P(E) = 0.40, P(E or F) = 0.50, and P(E and F) = 0.05, find... (answered by ikleyn)
E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F) (answered by ikleyn)
Let P(E) = 0.45, P(F) = 0.55, and P(F ∩ E) = 0.25. Draw a Venn diagram and find the... (answered by ikleyn)
Given P(E) = 0.46, P(F) = 0.49, and P(E and F) = 0.15, what is P(E or... (answered by ikleyn)
Given P(E) = 0.39, P(F) = 0.15, and P(E and F) = 0.03, what is P(E or F)? (answered by ikleyn)
Find P(E) under the assumption that P(E ∪ F) = 0.7 and P(E ∪ F^c ) =... (answered by ikleyn)
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)
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 (answered by ikleyn)
If P(E)=0.59, P(F)=0.61, and P(E and F)=0.83 find P(E and F) (answered by Boreal,ikleyn)