SOLUTION: IF P (A or B) = 0.8, and P (A) = 0.4, P (A and B) = 0.25, what is P(B)?

SOLUTION: IF P (A or B) = 0.8, and P (A) = 0.4, P (A and B) = 0.25, what is P(B)?

Algebra.Com

Question 717210: IF P (A or B) = 0.8, and P (A) = 0.4, P (A and B) = 0.25, what is P(B)?

Answer by 20800563(2) (Show Source): You can put this solution on YOUR website!
From general rule of addition we have that P(A or B)=P(A)+P(B)-P(A and B) so we have 0.8=0.4+P(B)-0.25 so we get 0.8-0.15=P(B) and P(B)=0.65
RELATED QUESTIONS
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)=0.9, P(B)=0.4 and P(B|A)=0.2. What is... (answered by math_tutor2020)

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)

Given P(A) = 0.32, P(B) = 0.48, P(A or B) = 0.36, what is P(A and... (answered by Theo,greenestamps)

P(A) = 0.31 P(B given A) = 0.8 P(A and B) =... (answered by ikleyn)

If P(A and B) = 0.2 and P (B|A) = 0.5, find P... (answered by math_tutor2020,greenestamps)

If P(A) > 0, P(B) > 0 and P(A) < P(A|B), show that P(B) < P(B|A) Thank... (answered by ikleyn)

if P(A)= 7/36, P(B)= 1/6, and P(A and B)= 0, what can you say about P(A or... (answered by stanbon)

Events A and B are called independent if P(A and B) = 0 P(A or B) = 0 P(A|B) =... (answered by Theo)

If P(A)=0.20, P(B)=0.80, then P(A and B) =0.20, then P(A/B)... (answered by ikleyn)