A box contains 7 good apples and 3 bad apples - problem

A box contains 7 good apples and 3 bad apples. Nick takes two apples at random from the box, WITHOUT replacement.

1) Calculate the probability that both of Nick's apples are bad?

Is it 3/10 + 2/9 = 0.3 + 0.22222 = 0.522222222....

2) Calculate the probability that at least one the Nick's apples is good?

Is it (7/10 x 2/9) + (2/10 x 7/9)

Another box contains 8 good oranges and 4 bad oranges.

Crystal keeps taking oranges at random from the box one at a time, WITHOUT replacement, until she gets a good orange.

3) Calculate the probability that she takes exactly three oranges?

Probability of 1.