Answer:
0.0677 = 6.77% probability that they will all be nonfiction
Step-by-step explanation:
The books are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
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:
10 + 12 = 22 books.
She chooses 4 books, which means that
12 nonfiction, which meas that
What’s the probability that they will all be nonfiction?
This is P(X = 4). So
0.0677 = 6.77% probability that they will all be nonfiction