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.