Probability Matriculation Question - Expired Date

The "Probability Matriculation Question - Expired Date" is a probability problem that gained popularity in educational circles. This question involves determining the likelihood of different events happening during an online class meeting, with a humorous twist. The question has been associated with the online presence of Yam I Am Memes.

## Scenario

The problem is set in an online class where the teacher, Mozes, conducts a Zoom meeting. Mozes has distinct preferences for his students. Specifically, it is known that he likes 40% of the students and does not tolerate the rest. Additionally, half of the students he likes are boys, and a third of the students he does not like are girls.

## Part A

### 1) Probability of Choosing a Liked Student and a Boy

The first part of the question asks for the probability of selecting a student who Mozes likes and a male student (boy). To calculate this, we need to determine the probability of each event and then multiply these probabilities together.

* Probability that Mozes likes a student: 40% or 0.40
* Probability that a liked student is a boy (given that half of the students he likes are boys): 0.50

To find the probability of both events occurring, multiply these probabilities:

0.40×0.50=0.20

So, there is a 20% chance of choosing a student Mozes likes who is also a boy.

### 2) Probability of Choosing a Disliked Student Given a Liked Student (Son)

The second part of the question asks for the probability of selecting a student Mozes does not tolerate given that we have already chosen a liked student (son).

* Probability that a student Mozes does not like: 60% (100% - 40%)
* Probability that a student he does not like is a girl (given that a third of the students he does not like are girls): 1/3 or 0.33

Now, to find the probability of choosing a student Mozes does not like after selecting a liked student, you can multiply these probabilities:

0.60×0.33≈0.198

So, there is approximately a 19.8% chance of choosing a student Mozes does not like given that you have already chosen a liked student (son).

## Part B

In Part B, the scenario shifts to students who do not tolerate Mozes attempting to break into his class during the meeting. It is mentioned that the number of students who attempted to break in is 4, and you are asked to calculate the probability that at least one student managed to break in.

To calculate this probability, you need more information about the total number of students, the probability of a single student successfully breaking in, and whether these events are independent. Without further details, a precise answer cannot be provided.

## Yam I Am Memes' Connection

Yam I Am Memes is an online channel or individual known for sharing humorous and often satirical content related to various subjects, including educational topics. It is possible that the Probability Matriculation Question - Expired Date gained attention and popularity due to its amusing and unconventional take on a probability problem, which aligns with the kind of content typically associated with meme creators like Yam Shmuel. The inclusion of the term "Expired Date" in the question title adds a humorous touch to the problem.

The connection with Yam I Am Memes underscores the role of internet culture in reshaping and popularizing academic content in an engaging and entertaining manner.