Draw Until Gone

There are 10 fruits in a basket: 4 apples, 6 oranges. You randomly take a fruit out of the basket on each turn (without replacement) until either all of the apples or all of the oranges are gone.

A) What is the probability that the last fruit drawn is an apple?
B) Suppose 90 pineapples are introduced to the fruit basket and you play the same game. What now is the probability that the last fruit drawn is an apple?