Probability

posted by .

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).

  • Probability -

    Recall:
    P(A∪B) = P(A) + P(B) - P(A∩B)
    do we already given 3 of the unknown for this expression to find P(A∩B) ?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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?
  2. 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]
  3. 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 E1-E7 …
  4. 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 …
  5. stat

    EXERCISE: THE MULTIPLICATION RULE (4 points possible) Are the following statements true or false?
  6. 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 …
  7. 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 …
  8. 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 …
  9. 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}. …
  10. 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 …

More Similar Questions