You go to a party with 500 guests. What is the probability that exactly one other guest has the same birthday as you? (Assume no one has a birthday on Feb 29).

0.3486 or 34.86%

Step-by-step explanation:

For each guest, the probability that they share a birthday with you is 1 in 365. Aside from you, there are 499 guests.

Therefore, this problem can be modeled by a binomial probability model with probability of success 1/365.

The probability of exactly 1 success in 499 trials is given by:

There is a 0.3486 or 34.86% chance that exactly one other guest has the same birthday as you.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e