SOLUTION: 4. Compute the probability. a. If P(A) = 0.2 , P(B)= 0.4, and P(A and B) = 0.1, find P(A or B) b. If P(A) = 0.6, P(B)= 0.4, and P(A and B) = 0.2, find P(A or c. If P(A) =

Question 1188898: 4. Compute the probability.
a. If P(A) = 0.2 , P(B)= 0.4, and P(A and B) = 0.1, find P(A or B)
b. If P(A) = 0.6, P(B)= 0.4, and P(A and B) = 0.2, find P(A or
c. If P(A) = 0.3, P(B)= 0.8, and P(A and B) = 0.9 find P(A or B)
d. If P(A) = 0.4, P(B)= 0.4, and P( A or B) = 0.4 find P(A and B)
e. lf P(A) = 0.7, P(A and B) = 0 4, and P( A or B)= 0.8, find P(B)

Answer by ikleyn(52752) (Show Source): You can put this solution on YOUR website!
.


To solve all 5 problems from (a) to (e), use one general formula of the probability theory


    P(A and B) = P(A) + P(B) - P(A and B).


When use it for each separate part, substitute all given relevant input values into the formula.


After that, find a single unknown value from the equation.

Happy solving (!)

RELATED QUESTIONS
Suppose P(A)=0.9, P(B)=0.4 and P(B|A)=0.2. What is... (answered by math_tutor2020)

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

(4 points) The joint probability mass function of X and Y is given by p(1,1)=0.45... (answered by Boreal)

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)

A sample space contains 7 sample points or outcomes. Let events and be defined... (answered by ikleyn,greenestamps,mccravyedwin)

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

Find the missing probability. P(A) = 0.5 P(B) = 0.6 P(A and B) = ? P(A) = 0.31... (answered by ikleyn)

Events A and B are independent events. Find the indicated Probability. P (A) = 0.4 P... (answered by ikleyn)

A and B are independent events. Round to 4 decimal places. P(A) = 0.33, P (A and B) =... (answered by ikleyn)