SOLUTION: Suppose A and B are events (not necessarily mutually distinct) in a sample space S. If P(A^c) = 0.2 and P(B) = 0.6 and P(A^c ∪ Bc) = 0.45, what is P(A ∪ B)? what i

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose A and B are events (not necessarily mutually distinct) in a sample space S. If P(A^c) = 0.2 and P(B) = 0.6 and P(A^c ∪ Bc) = 0.45, what is P(A ∪ B)? what i       Log On


   

Question 378778: Suppose A and B are events (not necessarily mutually distinct) in a sample space S.
If P(A^c) = 0.2 and P(B) = 0.6 and P(A^c ∪ Bc) = 0.45, what is P(A ∪ B)?
what i did:
P(A)= 1-P(A^c) also
P(A)=P(A intersect B)+ P(A intersect B^c)
I don't know how to get P(A intersect Bc)
if i can get that i can get P(A ∪ B) by :
P(A ∪ B) = P(A) + P(B) - P(A intersect B)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm hoping you mean P(A^c intersect B^c) because P(A^c ∪ B^c) is equal to 1 (draw a picture and you'll see that the union of A^c and B^c is the entire sample space). Is a typo?