Question

Using the applet, explore the results for simulating a group of 30 people and noting whether there is a duplicated birthday (whether at least two people have a matching birthday). Run at least 40 trials. What is the relative frequency of trials that had at least two people with the same birthday

Answer 1

To calculate the relative frequency of trials with at least two people having the same birthday, simulate the scenario multiple times and count the trials with duplicated birthdays.

Step-by-step explanation:

The question asks about the relative frequency of trials that had at least two people with the same birthday. To calculate this, you will need to simulate the scenario multiple times and count the trials where there is a duplicated birthday in a group of 30 people. Here's how you can do it:

1. Use a random number generator to generate a random number between 1 and 365 for each person in the group.
2. Check if there are any duplicated numbers (birthdays) in the group.
3. Repeat steps 1 and 2 multiple times (at least 40 trials).
4. Count the number of trials where there is a duplicated birthday.
5. Divide the count by the total number of trials to get the relative frequency.

For example, if you run 40 trials and find that in 20 trials there is a duplicated birthday, the relative frequency would be 20/40 = 0.5 or 50%.