A picnic basket contains five jars: one of marmalade, two of peanut butter and two of jam. A boy removes one jar at random from the basket and then his sister takes two jars, both selected at random.

a. Find the probability that the sister selects her jars from a basket that contains:

i. Exactly one jar of jam

ii. Exactly two jars of jam.

b. Draw up the probability distribution table for J, the number of jars of jam selected by the sister, and show that E(J) = 0.8.