Question: Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B.

What is the probability that

a. Person A was given a vitamin tablet?

b. Person B was given a sugar tablet given that Person A was given a vitamin tablet?

c. neither was given vitamin tablets?

d. both were given vitamin tablets?

e. exactly one person was given a vitamin tablet?

f. Person A was given a sugar tablet and Person B was given a vitamin tablet?

g. Person A was given a vitamin tablet and Person B was given a sugar tablet?