Could someone please help me with this probability question? I've already determined that for (a), the probability of selecting at least 2 robins once is $$ \frac{\binom83\binom32}{\binom{11}5} + \frac{\binom82\binom33}{\binom{11}5} $$ Now I'm wondering about (b) and (c).
Thank you for your help in advance.
Let's revisit the box of ducklings and robins. The box has 8 ducklings and 3 robins.
(a) If you remove 5 items from the box, what is the probability you will get at least 2 robins?
(b) If you do this every day for a month, then average your results, what is the probability you will average getting at least 2 robins?
(c) What is the probability that the total number of robins you pull over the course of the month is less than 10?