find probability that one person shares same Birthday in class of 23 students
find probability that one person shares same Birthday in class of 23 students
Homework Answers
Answer: 0.5073
Explanation:
Probability that at least one person shares same Birthday in class of 23 students = 1- Probability that no person shares a birthday.
Probability that no person shares a birthday
Probability that at least one person shares same Birthday in class of 23 students = 1-04927 = 0.5073
The above formula for Probability that no person shares a birthday comes from the following logic:
The first person can have any of 365 days as his birthday, so he has a probability of 365/365 happening
the next person can have only day from remaining 364 days, which has a probability of 364/365 happening
next person can have a day among remaining 363 days, which has a probability of 363/365 happening,
Similarly continuing upto 23 person, 23rd person will have a different date with probability = 343/365
So, the overall probability, as everyone's birthday is independent, we have
Probability that no person shares a birthday
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find probability that one person shares same Birthday
in class of 23 students
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