Determine the probability of given question, Mathematics

Assignment Help:

Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day?

Solution: Let S be the set of all possible birthdays for the 30 people. Since the first person can have their birthday on any of 365 days, as does the second, third and so on until the 30th person, 1754_Determine the probability of given question.gif

810_Determine the probability of given question1.gif

How many ways can every person have a different birthday? In this situation, there are 30 different days which can be someone's birthday. So the number of ways to have 30 different birthdays is 365C30.

The probability of every person having a different birthday is equal to

2373_Determine the probability of given question2.gif

This means that there is nearly zero probability that none of the thirty people will share a birthday! This is why it is so common that you will share a birthday with someone else in your math class.


Related Discussions:- Determine the probability of given question

Give the examples in real world of proportions , Give the Examples in Real ...

Give the Examples in Real World of Proportions? Proportions can be used in cooking. For example, the following is a set of ingredients for a pasta called "Spaghetti All' Amatri

Mortgages, compute the monthly payment on a 30 year level payment mortagage...

compute the monthly payment on a 30 year level payment mortagagesasuming an annual mortgages principal of $400000

Calculate the equation, Problem1: Find the general solution on -π/2 Dy/...

Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4

Problem Solving, Max can paint a house in 3 hours. Saria can paint a house...

Max can paint a house in 3 hours. Saria can paint a house in 5 hours. working together, how long will it take both Saria and Max to paint a house?

To calculate volume of cylinder which formula is used, Mimi is filling a te...

Mimi is filling a tennis ball can along with water. She wants to know the volume of the cylinder shaped can. Which formula will she use? The volume of a cylinder is π times the

GEOMETRIC PROGRESSION, THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPE...

THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPECTIVELY AND THE COMMON RATIO IS POSITIVE.FIND THE COMMON RATIO

Find out the volume of the solid -y = (x -1) ( x - 3)2, Find out the volume...

Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r

Demand Forecast, How should shoppers Stop develop its demand forecasts?

How should shoppers Stop develop its demand forecasts?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd