Probability
posted by Erica .
Assume that P(A) = 0.4, P(B) = 0.4, and P(A∪B) = 0.7. Find P(A∩B) and P(A complement ∩ B complement).

Recall:
P(AâˆªB) = P(A) + P(B)  P(Aâˆ©B)
do we already given 3 of the unknown for this expression to find P(Aâˆ©B) ?
Respond to this Question
Similar Questions

Math
1) Given the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and sets A = {2, 3, 4, 6}, B = {5, 6, 7, 8, 10}, C = {6, 8, 10}, and D = {1, 2, 7, 9}, answering the following: 1 a) What is A ∪ C? 
math probability
Assume that Pr[E]=0.55,Pr[F]=0.55,Pr[G]=0.55,Pr[E∪F]=0.85,Pr[E∪G]=0.8, and Pr[F∪G]=0.75. Find: Pr[E' U F]; Pr[F' ∩ G]; and Pr[E ∩ G] 
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? 
mah
Let A = {a, b} and list the four elements of the power set P (A). We consider the operations + to be ∪, · to be ∩, and complement to be set complement. Consider 1 to be A and 0 to be ∅. a. Explain why the description … 
math
Let A = {a, b} and list the four elements of the power set P (A). We consider the operations + to be ∪, · to be ∩, and complement to be set complement. Consider 1 to be A and 0 to be ∅. a). Explain why the description … 
mah
Let A = {a, b} and list the four elements of the power set P (A). We consider the operations + to be ∪, · to be ∩, and complement to be set complement. Consider 1 to be A and 0 to be ∅. a. Explain why the description … 
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 …