Question

In a political science class there are 88 political science majors and 1313 non-political science majors. 22 students are randomly selected to present a topic. What is the probability that at least 11 of the 22 students selected is a non-political science major? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

`(29)/(33)`

Explanation:

Given that in a political science class there are 8 political science majors and 13 non-political science majors. 2 students are randomly selected to present a topic.

To find the probability that at least 1 of the 2 students selected is a non-political science major

=1-Probability that both are political science major

i.e. selecting both students from political science is the complement of this event

Hence required probability

=
`1-(8C2)/(22C2) \\=1-(4)/(33) \\=(29)/(33)`