In a business class there are 6 men and 10 women 3 students

In a business class there are 6 men and 10 women. 3 students are randomly selected to present a topic. What is the probability that at least 1 of the 3 students selected is female?
In a business class there are 6 men and 10 women. 3 students are randomly selected to present a topic. What is the probability that at least 1 of the 3 students selected is female?

Solution

There can be three cases:
1. 1 female and 2 male
2. 2 female and 1 male

3. all 3 female

So probability of at least 1 female getting selected is = (10C1 . 6C2 + 10C2 . 6C1 + 10C3) / 16C3

In a business class there are 6 men and 10 women. 3 students are randomly selected to present a topic. What is the probability that at least 1 of the 3 students

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