What is the probability of 2 students sharing a birthday in a class of 30 students is?
What is the probability of 2 students sharing a birthday in a class of 30 students is?
The probability that at least two people do share a birthday 1.0–0.0595 = 0.9405. So with a random group of 45 people, there is greater than 94\% chance that at least two of them share a birthday.
What is the probability that at least two students have the same birthday?
You can test it and see mathematical probability in action! 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 Probabilty your birthday falls on the 30th of any month of the year 2021?
Therefore, the probability of your birthday falling on the 30th of any month of the year 2021 is 11/365.
What are the chances that at least two people in your class have the Samebirthday assume that the number of students is 50?
23 people. In a room of just 23 people there’s a 50-50 chance of at least two people having the same birthday.
How do you solve birthday paradox?
The birthday paradox is that, counterintuitively, the probability of a shared birthday exceeds 50\% in a group of only 23 people. The birthday paradox is a veridical paradox: it appears wrong, but is in fact true….Calculating the probability.
| n | p(n) |
|---|---|
| 70 | 99.9\% |
| 75 | 99.97\% |
| 100 | 99.99997\% |
| 200 | 99.9999999999999999999999999998\% |
What is the probability of all 30 students having the same birthday?
So the probability of all 30 having different birthdays is So the probability that at least 2 students have the same birthday is that number subtracted from 1, which is: or about a 71\% probability that at least 2 students among the 30 have the same birthday. Edwin
How likely is it that 2 people in 30 share a birthday?
The probability at least 2 people in 30 share the same birthday Turns out it was a pretty safe bet for our professor! He had a nearly 71\% chance that 2 or more of us would share a birthday.
What are the chances of two people being born on the same day?
Many people are surprised to find that if you repeat this calculation with a group of 23 people you’ll still have a 50\% chance that at least two people were born on the same day. That’s a relatively small group of people considering that there are 365 possible birthdays!
What is the probability of having a third child on 365 days?
The third student may be born on any of the remaining 363 days, so 363/365. This pattern continues so that our last student has a probability of 336/365 (365 – 29 days since the students before her used up 29 potential days). Again multiply all 30 probabilities together: