Answer:
0.5944 = 59.44% probability that the team has at least 2 grade 11 students
Step-by-step explanation:
The students 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.
We have that:
6 + 8 = 14 students, which means that
6 grade 11 students means that
Teams of 4 members means that
What is the probability that the team has at least 2 grade 11 students?
This is:
In which
So
Then
0.5944 = 59.44% probability that the team has at least 2 grade 11 students