Answer:
0.1108 = 11.08% probability that there are exactly 3 faulty candy bars among the seven.
Step-by-step explanation:
The bars 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:
60 total candies means that
12 are faulty, which means that
Seven are chosen, so
What is the probability that there are exactly 3 faulty candy bars among the seven?
This is . So
0.1108 = 11.08% probability that there are exactly 3 faulty candy bars among the seven.
