Posted by **alex** on Saturday, September 15, 2012 at 6:10pm.

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]

- math probability -
**David Q/R**, Sunday, September 16, 2012 at 1:13pm
It looks like a Venn diagram problem to me - which is a pity because I can't draw a Venn diagram here. Never mind: I'll try to manage with just the numbers. Pr(EuF) = P(E) + P(F) - P(EnF) = 0.55 + 0.55 - Pr(EnF) = 0.85, so Pr(EnF) = 1.10 - 0.85 = 0.25. Likewise Pr(EuG) = Pr(E) + Pr(G) - Pr(EnG) = 0.55 + 0.55 - Pr(EnG) = 0.80, so Pr(EnG) = 1.10 - 0.80 = 0.30 (which is the third of the three answers you need). Likewise Pr(FuG) = Pr(F) + Pr(G) - Pr(FnG) = 0.55 + 0.55 - Pr(FnG) = 0.75, so Pr(FnG) = 1.10 - 0.75 = 0.35. Also Pr(F' n G) is everything outside F that's in G, which is Pr(G) - Pr(FnG) = 0.55 - 0.35) = 0.2. Finally, Pr(E' u F) = Pr(E') + Pr(F) - Pr(E' n F) = (1-0.55) + 0.55 - (0.55-0.20) = 1 - 0.35 = 0.65. I'm not sure I've got the above right, so I suggest you draw your own diagram and see if you get the same answers as me.

## Answer this Question

## Related Questions

- Math - 1) Given the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and sets A...
- probability - PROBLEM 2: SET OPERATIONS AND PROBABILITIES (3 points possible) ...
- probability - In this problem, you are given descriptions in words of certain ...
- maths - Let A, B and C be the sets such that A ∪ B = A ∪ C and A &#...
- maths - Let A, B and C be the sets such that A ∪ B = A ∪ C and A &#...
- math. Somebody help urgently please - 1. for any sets X and Y, we define the ...
- URGENT HELP WITH DISCRETE MATH PLEASE - 1. for any sets X and Y, we define the ...
- URGENT! discrete math help please - 1. for any sets X and Y, we define the ...
- math - Complete the following probability distribution table and then calculate ...
- discrete math help please - 1. for any sets X and Y, we define the symmetric ...

More Related Questions