SOLUTION: A and B are two events and P (A) = 0.6, P (B) = 0.7 and P (A or B) = 0.9 Find P (not A and B)

Algebra.Com
Question 1103534: A and B are two events and P (A) = 0.6, P (B) = 0.7 and P (A or B) = 0.9
Find P (not A and B)

Found 2 solutions by Boreal, greenestamps:
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)
0.9=0.6+0.7-0.4
Therefore since P(A and B) is 0.4, P not (A and B) is 0.6.

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!
I read the problem differently than the other tutor.

From the given information, he correctly found that P(not(A AND B)) = 0.6.

As I read the problem, what we are supposed to find is P(not A AND B); that probability is P(B)-P(A AND B) = 0.7-0.4 = 0.3.

RELATED QUESTIONS

3- For two events A and B P(A)= 0.53,P(B) 0.36 and P(AnB)=0.29. Find a. P(A/B) b.... (answered by ikleyn)
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)
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)
If A and B are two events such that P(A) = 0.7 and P(B) = 0.5 and P((A u B)') = 0.1. Find (answered by ikleyn)
Events A and B are independent events. Find the indicated Probability. P (A) = 0.4 P... (answered by ikleyn)
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)
Suppose P(A) = 0.25 and P(B) =0.15.If A and B are independent events but not mutually... (answered by ikleyn)
You are given the probabilities below: P(a) = 0.25 P(B) = 0.30 P(C) = 0.55 P(A and C) (answered by robertb,jim_thompson5910)
You are given the following: P(A)=0.25 P(B)=0.30 P(C)=0.55 P(A and C)=0.05 P(B and (answered by Edwin McCravy)
A and B are independent events. Round to 4 decimal places. P(A) = 0.33, P (A and B) =... (answered by ikleyn)