math
posted by dan .
If E and F are events with P ( E ∩ F ) = 0.09 and P ( E F ) = 0.3 , P ( F E ) = 0.4
Find P (F )

I assume the question was:
If E and F are events with P ( E ∩ F ) = 0.09 and P ( E  F ) = 0.3 , P ( F  E ) = 0.4
Find P (F )
where P(EF) and P(FE) are conditional probabilities.
Review your class notes to find that:
P(EF)=P(E∩F)/P(F)
and
P(FE)=P(F∩E)/P(E)=P(E∩F)/P(E)
From the above equations, you can solve for P(F) and P(E) respectively.
Respond to this Question
Similar Questions

math
For the universal set U= {0,1,2,3,4,5,6,7} And the sets A={1,5}, B={1,2,3,4} And C= {4, 6} lists the elements in the following Sets. a. A ¿ B b. A U Bf c. A ¿(B U C) d. C ¿ (B ¿ A)f I assume your funny symbol is "∩", … 
probability
Let A and B two mutually exclusive events of a sample space S. If P(A)=0.6, P(B)=0.2 , find the probability of each of the following events a)P(A ∩ B) 
Math
Given A = {1, 2, 3}, B = {3, 4, 5, 6,}, and C = {3, 5, 7}. Evaluate each set a) A ∩ B b) A U C c) B U C d) (A U B) ∩ C e) A U (B U C) f) (A ∩ B) ∩ C g) (A ∩ B) U C 
Math
ive the numbers of elements in the regions marked I, II, III, IV, V, VI, VII, VIII in the figure U = 150, A = 35, B = 12, C = 12 A∩B = 4, A∩C = 3, B∩C = 3, A∩B∩C = 1 
probability
In this problem, you are given descriptions in words of certain events (e.g., "at least one of the events A,B,C occurs"). For each one of these descriptions, identify the correct symbolic description in terms of A,B,C from Events E1E7 … 
probability
PROBLEM 2: SET OPERATIONS AND PROBABILITIES (3 points possible) Find the value of P(A∪(Bc∪Cc)c) for each of the following cases: The events A, B, C are disjoint events and P(A)=2/5. P(A∪(Bc∪Cc)c)= incorrect … 
stat
EXERCISE: THE MULTIPLICATION RULE (4 points possible) Are the following statements true or false? 
Probability
Let A,B,C be three events and let X=IA, Y=IB, Z=IC be the associated indicator random variables. We already know that X⋅Y is the indicator random variable of the event A∩B. In the same spirit, give an algebraic expression, … 
Math  sets
Suppose A, B, and C are sets. In at least one of the following situations, one can conclude that A = B. Identify those cases where this conclusion does apply. (i) A ∪ C = B ∪ C A={1,2},A={1,2}, B={2,3}B={2,3} and C={1,2,3}.C={1,2,3}. … 
Sets
Let A, B, and C be subsets of a universal set U and suppose n(U)=100, n(A)=30, n(B)=30, n(C)=32, n(A∩B)=9, n(A∩C)=10, n(B∩C)=14, and n(A∩B∩C)=5. Compute n(Ac∩Bc∩Cc) c. 70 64 39 14 10 …