I have 2 probability questions: (1) You have 20 closed friends and one of them i

Question

I have 2 probability questions:

(1) You have 20 closed friends and one of them is Jeff. You are randomly choosing 4 friends to join your graduation party. What is the probability that Jeff is invited?

(2) At a college, there are 30 000 students registered for the fall semester. 2000 of the registered students will be taking a Probability class. Without replacement, 20 students are selected randomly. What is the probability that no more than two of them will be taking a Probability class? If sampling is with replacement, what is the probability that at least one of the sampled students will be chosen more than once?

Thank you!

Explanation / Answer

1) Here We are choosing Randomly 4 friends out of 20 closed friends.

So, Because Of Randomness Jeff has also the same chances of selecting in the sample.

So, the total closed friends are 20 and Jeff is one of them

So, the Probability is (1/20) .

According to Chegg Policy We Allow to solve only one question, if there are multiple questions.

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