SOLUTION: Can someone check my work and let me know if I did it correctly? Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that bel

Algebra ->  Probability-and-statistics -> SOLUTION: Can someone check my work and let me know if I did it correctly? Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that bel      Log On


   

Question 404537: Can someone check my work and let me know if I did it correctly?
Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region. Since the diagram wont copy, the left circle "A" contains a "70", the right circle "B" contains a "40" and the center, shared space contains a "10".

Determine
• n(A) 70 + 10 = 80
• n(B) 10 + 40 = 50
• P(A) 40 / 120 = 1/3
• P(B) 50 / 120 = 5/12
• P(A|B) 10 / 50 = 1/5
• P(B|A) 10 / 70 = 1/7
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

P(A) = n(A)/ n(S) = 80/120 = 2/3
P(B) = n(B)/ n(S) = 50/120 = 5/12

P(A U B) = P(B U A) = P(B|A) = P(A|B) = 120/120 = 1

P(A n B) OR P( A AND B) = 10/120 = 1/12