Answer:
n = 253 people
Step-by-step explanation:
There are 'n' persons and at least one person should share your birthday, the probability is given by
1 - (364/365)^n
We want this probability to be at least 0.5
Therefore, 1 - (364/365)^n ≥ 0.5
It mathematically becomes:
(364/365)^n ≥ 0.5
Taking In of both sides
In(364/365)^n ≤ In(0.5)
n.In(364/365) ≤ In (0.5)
Therefore,
n ≥ In 0.5/In 364/365
n ≥ 252.652
n = 253
Which implies we need at least 253 people.
