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In a class of 160 students what is the odds to have exactly 3 people share the same birthday

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In a Class of 160 Students: Odds of Exactly 3 People Sharing the Same Birthday

Understanding the probability of exactly 3 people sharing the same birthday in a class of 160 students can provide valuable insights into the occurrence of birthdays within a large group. This article aims to explain the concept, highlight its benefits, and outline the conditions under which it can be applied.

I. Understanding the Odds:

  1. Definition of Odds: The term "odds" represents the likelihood of a specific event occurring.
  2. The Specific Event: In this case, we are interested in the probability of exactly 3 individuals sharing the same birthday within a class of 160 students.

II. Benefits of Analyzing the Odds:

  1. Statistical Analysis: By calculating the odds, we gain a better understanding of the likelihood of this specific occurrence.
  2. Insight into Group Dynamics: This probability concept sheds light on the clustering of birthdays within a larger group, providing insight into human behavior and social dynamics.
  3. Event Planning: Knowledge of the odds can be useful for event planners, helping them anticipate potential birthday coincidences and tailor activities accordingly.

III. Conditions for Applying the Odds:

  1. Independent Birthdays: The calculation assumes that each person's birthday is independent of others
Title: The Odds of Sharing a Birthday in a Group of 70 People: Unraveling the Coincidental Connections SEO Meta Description: Curious about the likelihood of individuals sharing a birthday in a group of 70 people? Delve into the fascinating world of statistics and discover the surprising odds behind this intriguing phenomenon in the US. Introduction Have you ever marveled at the uncanny coincidence of sharing a birthday with someone you know? It's an intriguing occurrence that leaves us pondering the odds of such a phenomenon. In this article, we will explore the fascinating question: "In a group of 70 people, what are the odds of them sharing a birthday?" Prepare to be astonished as we delve into the realm of statistics and uncover the truth behind this captivating topic. Understanding the Odds: 1. The concept of odds: - Odds refer to the probability of a specific event occurring. - It helps us determine the likelihood of an outcome in relation to all possible outcomes. 2. The birthday paradox: - The birthday paradox may seem counterintuitive, but it reveals a hidden statistical peculiarity. - It states that in a relatively small group of people, the chances of two individuals sharing a birthday are surprisingly high. Calculating the Odds

There are 24 students in a class, group of 4 what are the odds you'll be in the same group twice

Title: The Odds of Being in the Same Group Twice: Unraveling the Mystery of 24 Students in a Class SEO Meta-description: Discover the probability of being assigned to the same group twice when there are 24 students in a class, with each group consisting of 4 students. Delve into the intriguing world of odds and chances in the American classroom setting. Introduction: In the bustling world of education, classrooms are often filled with diverse groups of students, each with their own unique personalities and aspirations. Occasionally, students may find themselves pondering the likelihood of being placed in the same group twice throughout their academic journey. Today, we will embark on a mathematical adventure to calculate the odds of encountering this serendipitous occurrence when there are 24 students in a class, with groups of 4. So, let's dive into the fascinating world of probabilities and unveil the answer to this intriguing question. 1. Understanding the Classroom Setup: In order to comprehend the odds of being in the same group twice, it is crucial to understand the classroom dynamics. We have a class with 24 students, which can be divided into six groups, each consisting of four students. This setup allows for a multitude of combinations and permutations. 2. Calculating the Odds: To

What is the probability of at least two people having the same birthday?

Two people sharing a birthday would be 1 - (364/365), or 0.3%, or 1 in 370.

What are the odds of two people in a room sharing a birthday?

In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching. Put down the calculator and pitchfork, I don't speak heresy. The birthday paradox is strange, counter-intuitive, and completely true.

Is it true that in a room of 23 people there's a 50% chance that two people have the same birthday How?

This means that any two people have a 364/365, or 99.726027 percent, chance of not matching birthdays. As mentioned before, in a group of 23 people, there are 253 comparisons, or combinations, that can be made. So, we're not looking at just one comparison, but at 253 comparisons.

What is the probability that 2 friends have different birthdays?

Hence, the probability that two friends have different birthdays = 1 – 1365=364365. Q. What is the probability that two friends have different birthdays in a normal year?

What are the odds of 3 people sharing the same birthday?

The chance of: two people sharing a birthday would be 1 - (364/365), or 0.3%, or 1 in 370. three people sharing a birthday would be 1 - ((364/365)(363/365)), or 0.8%, or 1 in 122.

Frequently Asked Questions

What is the probability that 3 randomly selected people have the same birthday?

0.00000751 The probability of third person having birthday is 1/365. Thus, the probability that 3 randomly selected people all have the same birthday is 0.00000751.

What is the rarest birthday?

The least common birthday is leap day, or February 29. But because the day only occurs once every four years, it's obvious it would yield the least amount of birthdays. The rarest birthday of the 365 annual calendar days is Christmas Day, Dec. 25.

How common is it to marry someone with the same birthday?

It's certainly a rarity. Statistically speaking, with 365 days in a year, there's a . 27 percent chance of any two people sharing the same calendar date as birthdays . In my small school two teachers were married, and they had twin boys.

What are the odds of two people being born on the same date?

If you want to know the odds of being born on a particular day, they are 365:1, or 366:1 in a leap year. If you want to know the odds of two people having the same birthday meeting each other, they are roughly 207 million to one.

What is the probability of birthday match?

The birthday paradox, also known as the birthday problem, states that in a random group of 23 people, there is about a 50 percent chance that two people have the same birthday.

What is the 23 birthday paradox?

In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching.

Is the birthday paradox true?

The birthday paradox refers to the counterintuitive fact that only 23 people are needed for that probability to exceed 50%. The birthday paradox is a veridical paradox: it seems wrong at first glance but is, in fact, true.

FAQ

What are the odds of 2 people having the same birthday?
The chance of: two people sharing a birthday would be 1 - (364/365), or 0.3%, or 1 in 370.
What is the probability that two friends will have same birthday?
Let's start simple. What's the chance that two people share the same birthday? The first person can be born on any day of the year, this means that the probability is 365/365 = 1. The second person has to be born on the same day as the first and there is a 1/365 chance of that happening.
How likely is it for two people to be born on the same day?
If you want to know the odds of being born on a particular day, they are 365:1, or 366:1 in a leap year. If you want to know the odds of two people having the same birthday meeting each other, they are roughly 207 million to one.
What are the odds of having 3 children with the same birthday?
The odds of three siblings, not triplets, being born on the same day is roughly 1 in 100,000, according to Roger Heath-Brown, emeritus professor of pure mathematics at Oxford University.
What are the chances of 3 generations being born on the same day?
WAUSAU, Wis. — Three generations of Wisconsinites were born on the same day, in the same hospital. There is a 1 in 133,000 chance of sharing a birthday with both your dad and grandfather, but one family has defied the odds.
What are the odds of 3 generations born on the same day?
The odds of two generations of men having the same birthday are approximately 1 in 365, which is less than 1%. The odds of having three generations of men with the same birthday are significantly lower, with an estimated probability of around 0.00027%.
How does the birthday paradox work?
The birthday paradox is the unintuitive result that in a group of 23 people, the probability that two of them have the same birthday is greater than 50 percent. It has nothing to do with irrational numbers.

In a class of 160 students what is the odds to have exactly 3 people share the same birthday

What is the probability that exactly one pair has the same birthday? The chance of: two people sharing a birthday would be 1 - (364/365), or 0.3%, or 1 in 370. three people sharing a birthday would be 1 - ((364/365)(363/365)), or 0.8%, or 1 in 122. four people sharing a birthday would be 1 - ((364/365) )(363/365)(362/365)), or 1.6%, or 1 in 61, and so on.
How do you calculate the probability of the same birthday? What's the chance that two people share the same birthday? The first person can be born on any day of the year, this means that the probability is 365/365 = 1. The second person has to be born on the same day as the first and there is a 1/365 chance of that happening.
What are the odds to find someone with the same birthday? The odds are 1/366, or 0.0027%! And those aren't very good odds. That's why when you meet someone who has the same birthday as you, it always seems like a neat coincidence.
What is the probability that two people in a group have the same birthday? 1 in 365 Theoretically, the chances of two people having the same birthday are 1 in 365 (not accounting for leap years and the uneven distribution of birthdays across the year), and so odds are you'll only meet a handful of people in your life who enjoy the same birthday as you.
What are the odds of 23 people having the same birthday? 50.9% That means that 1 – 0.491, or 0.509 or 50.9%, is the probability that at least two people in the group of 23 share a birthday.
What are the odds of 20 people having the same birthday? Table: Chance of two people sharing a birthday
Number of peopleProbabilityChance %
200.411440
250.568760
300.706370
350.814480
What are the odds of 30 people in a room having the same birthday? The probability of sharing a birthday = 1 − 0.294... = 0.706... Or a 70.6% chance, which is likely! So the probability for 30 people is about 70%.
  • What are the odds of someone else having the same birthday?
    • If you want to know the odds of being born on a particular day, they are 365:1, or 366:1 in a leap year. If you want to know the odds of two people having the same birthday meeting each other, they are roughly 207 million to one.
  • What is the probability of 30 people sharing a birthday?
    • The probability of sharing a birthday = 1 − 0.294... = 0.706... Or a 70.6% chance, which is likely! So the probability for 30 people is about 70%.
  • What is the birthday paradox for 30 people?
    • For example, in a classroom of 30 students, you'd have a 70% chance of two classmates sharing a birthday. If you increase the number of people in the room to 70, there's a 99.9% chance that a pair of people will have the same birthday!
  • What are the odds of sharing a birthday in a group?
    • 23 people. In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching.
  • What is the probability of 3 students sharing a birthday in a class of 30 students is?
    • Then this approximation gives (F(2))365≈0.3600, and therefore the probability of three or more people all with the same birthday is approximately 0.6400. Wolfram Alpha gives the probability as 0.6459. Contrast this with the accepted answer, which estimates the probability at 0.7029.
  • How do you calculate the probability of sharing a birthday?
    • What's the chance that two people share the same birthday? The first person can be born on any day of the year, this means that the probability is 365/365 = 1. The second person has to be born on the same day as the first and there is a 1/365 chance of that happening.