P(A) = .3 , P (B) = .7 and P (A and B) = .1
a. What is P (A|B) ?
b. What is P ( A or B ) ?
c. What is P (B|A) ?
d. Are A and B independent?
a. What is P (A|B) = P( A and B) / P(B) = .1 / .7 = 1/7
b. What is P ( A or B ) =
P(A) + P(B) - P(A and B) =
.3 + .7 - .1 =
.9 =
9/10
c. What is P (B|A) = P(A and B) / P(A) = .1 / .3 = 1/3
d. The events will be independent if :
P(A and B) = P(A) * P(B) ...so.....
.1 = (.3) (.7) ???
.1 = .21 ????
No.......so these are dependent events