Math
posted by James .
Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b) P(A  B).
(c) Sketch a Venn diagram and describe it in words

P(A ∪ B) = P(A) + P(B)  P(A ∩ B) = 1
I think you'll find that given two possible outcomes, it will always be one or the other. :)
P(AB) = P(A ∩ B)/P(B)
Since P(A and B) = 0, P(AB) = 0
Respond to this Question
Similar Questions

math  question
help i don't even know were to start with this. Use a Venn diagram to determine whether A ∩ (B U C) 5 (A ∩ B) U C for all sets A, B, and C. 
math  question
help i don't even know were to start with this. Use a Venn diagram to determine whether A ∩ (B U C) 5 (A ∩ B) U C for all sets A, B, and C. 
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? 
algebra
At an auto show, a car dealer asked the first 10 visitors their ages and the kinds of cars they own. The Venn diagram shows the details. A Venn diagram titled Ages of Car Owners, indicating the ages of owners of each type of car. Each … 
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] 
maths
Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. Show that B = C. 
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 … 
Discrete Math
Prove that (A ∩ B) ∪ C= A ∩ (B ∪ C) if and only if C ⊆ A. I really need some help on structuring the proof! 
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}. …