Answer:
0.0164 probability that exactly 11 black balls are drawn
Explanation:
The balls are drawn without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:

In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
Total of 88 + 88 = 176 balls, so

33 balls are drawn, so

We want 11 black balls(sucesses), so

There are 88 black balls, so

Then


0.0164 probability that exactly 11 black balls are drawn