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In an anthropology class there are 9 anthropology majors and 13 non-anthropology majors. 3 students are...

In an anthropology class there are 9 anthropology majors and 13 non-anthropology majors. 3 students are randomly selected to present a topic. What is the probability that at least 2 of the 3 students selected are non-anthropology majors? Express your answer as a fraction or a decimal number rounded to four decimal places.

PLEASE DO NOT ANSWER UNLESS YOU ARE CONFIDENT IT WILL BE CORRECT.

Math   Statistics-And-Probability   
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Answer #1

Let A be the event of selecting an anthropology majors student, while N be the event of selecting non-anthropology majors student.

We need to calculate the probability that:

P(at least 2 students selected are non-anthropology majors)

= P(ANN) + P(NAN) + P(NNA) + P(NNN)

=9/22 * 13/21 * 12/20 * 3 + 13/22*12/21*11/20

= 5928/9240

= 247/385

0.641558

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

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