bean5779 bean5779

13-12-2019
Mathematics

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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.

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AlonsoDehner AlonsoDehner

16-12-2019

Answer:

[tex]\frac{29}{33}[/tex]

Step-by-step 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

= [tex]1-\frac{8C2}{22C2} \\=1-\frac{4}{33} \\=\frac{29}{33}[/tex]

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