Question 905867
A little Chart helps:
V  20%  .10
G  40%  .20
M  40%  .30
a. Probability of the Coffee bitter in any morning{{{.10*.20 + .20*.40 + .30*.40 = 02 +.08 + .12 = .22}}}
 b. Probability of the coffee is not bitter in any morning. 1 - .22 = .78
 c. Probability of the coffee is prepared by Gita or Michael. .40 + .40 = .80
 d. Probability of the coffee is not bitter and prepared by Michael .40*.70
 e. Probability of the coffee is prepared by Veronica, given that the coffee is bitter
P(A|B) = P(A and B)/P(B)
P(V | bitter) = .10*.20/.22
 f. Probability of the coffee is not bitter, when it is prepared by Gita
P(not bitter|G) = .80*.40/.78