SOLUTION: The P(A)=8/15, P(B)=3/4 and P(A∩B)=1/6. a) Find P(A∪B) b)Are A and B exhaustive events?

Algebra.Com
Question 1066922: The P(A)=8/15, P(B)=3/4 and P(A∩B)=1/6. a) Find P(A∪B)
b)Are A and B exhaustive events?

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
P(A)=8/15, P(B)=3/4 and P(A∩B)=1/6. a) Find P(A∪B)
a) Find P(A∪B)
P(A∪B) = P(A) + P(B) - P(A∩B) = 8/15 + 3/4 - 1/6 = 67/60 > 1

The problem is botched, because it's impossible to have a
probability > 1.  Did you copy the problem wrong?

Edwin


RELATED QUESTIONS

Given that p(A)= 1/4 p(B)= 1/5 p(C)= 1/2 Compute the following 1)... (answered by MathLover1)
If A and B are two events such that P(A) = 1/4, P(B) = 1/3 and P(AUB) = 1/2, then find (answered by jim_thompson5910)
let a,b and c be three mutually and exhaustive events find p(b) if 1/3 p(c)=1/2... (answered by Fombitz)
Let A and B be events with P(A)=1/3, P(B)=1/4 and P(AUB)=1/2. Find the P(A ∩ B'... (answered by ikleyn)
Use the given information to find the indicated probability. P(A ∩ B) = .1, P(B) =... (answered by edjones)
Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b)... (answered by stanbon)
Use the given information to find the indicated probability. P(A ∪ B) = .3 and P(A... (answered by edjones)
If A, and B are two events, where P(A) = k, P(A∪B) = 0.5, P(B) = 0.33: (1) Find k,... (answered by dkppathak)
I am stuck on this problem, I get how to discover the independent values, but not for the (answered by math_helper)