(Birthday Paradox). John is on a speed dating night with 30 people. It turns out that two people present have the same birthday, which everyone finds very coincidental. John sees his chance to impress and calculates the probability that (at least) two people present have the same birthday. We ignore leap years in this example and assume a year has 365 days. How do we approach this example,the idea is to solve this with conditional probability

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(Birthday Paradox). John is on a speed dating night with
30 people. It turns out that two people present have the same birthday, which everyone finds very coincidental. John sees his chance to impress and calculates the probability that (at least) two people present have the same birthday.
We ignore leap years in this example and assume a year
has 365 days.
How do we approach this example,the idea is to solve this with conditional probability, if possible could you explain it step by step I'm quite new to probability, thanks in advance

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