How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is

i.e.

Solving further, we have that:

We're calculating the probability that .

So, we have:

Collect Like Terms

Take natural logarithm (ln) of both sides

Apply laws of logarithm

Multiply through by -1

Solve for n

Reorder

(approximated)

This implies that n = 401, 402, 403 .....

i.e

So, at least 401 people has to be invited

c is the answer

step-by-step explanation: