SOLUTION: P(A) = 0.56, P(A and B) = 0.15, find P(B)

Question 1168708: P(A) = 0.56, P(A and B) = 0.15, find P(B)
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
P(A or B)=P(A)+P(B)-P(A and B)
if we assume P(A OR B) is everything, or 1,
then 1=0.56+P(B)-0.15
and P(B)=0.59
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.

Under given condition, million valid answers are possible. The given condition DOES NOT DEFINE P(B) by an unique way, and P(B) CAN NOT be defined/found by an unique way.

-----------

Be aware, it is a FAKE problem, INCORRECTLY posed.

RELATED QUESTIONS
Assume that P(A) = 0.7, P(B) = 0.8, and P(B and A) = 0.56. a) Find P(A|B) and P(B|A).... (answered by ikleyn,math_tutor2020)
If P(A and B) = 0.2 and P (B|A) = 0.5, find P... (answered by math_tutor2020,greenestamps)
4. Compute the probability. a. If P(A) = 0.2 , P(B)= 0.4, and P(A and B) = 0.1, find... (answered by ikleyn)
Suppose P(A) = 0.25 and P(B) =0.15.If A and B are independent events but not mutually... (answered by ikleyn)
ii. If P(B)=0.30, P(A│B)=0.60, P(B’)=0.70 and P(A│B’)=0.50, find... (answered by ikleyn)
If A and B are events with P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23, find... (answered by math_tutor2020)
Suppose P(A)=0.9, P(B)=0.4 and P(B|A)=0.2. What is... (answered by math_tutor2020)
P(A) = 0.31 P(B given A) = 0.8 P(A and B) =... (answered by ikleyn)
Suppose that P(A) = 0.3 and P(A ∩ B) = 0.06. Find... (answered by Theo,ikleyn,greenestamps)