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

Run a chi-square test, Download the data on Gas Mileage.  This is a sample ...

Download the data on Gas Mileage.  This is a sample of 81 passenger cars with information about gas consumption and other technical details.     a.        Estimate the following

Powerball odds., I need to know how to get the power ball odds. the first o...

I need to know how to get the power ball odds. the first one 5 out of 59 plus 1 out of 35 I got .I did combination formula and it came out right. how do you get 5 out 0f 59 and get

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

#tnumarancyitle.., what is classification and how can you teach it?

what is classification and how can you teach it?

Calculate the height of the tunnel and the perimeter, The adjoining figure...

The adjoining figure shows the cross-section of a railway tunnel. The radius of the tunnel is 3.5m (i.e., OA=3.5m) and ∠AOB=90 o . Calculate : i.       the height of the

Determine the length of the field, A rectangular field is to be fenced in c...

A rectangular field is to be fenced in completely. The width is given as 22 yd and the total area is 990 yd 2 . Determine the length of the field? a. 31 yd b. 45 yd c. 968

Surface area with parametric equations, Surface Area with Parametric Equati...

Surface Area with Parametric Equations In this final section of looking at calculus applications with parametric equations we will take a look at determining the surface area o

Marginal probability, Marginal Probability Probability of event A happe...

Marginal Probability Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability. Marginal or Uncondi

Patrice has worked a certain how many hours has she worked, Patrice has wor...

Patrice has worked a certain amount of hours so far this week. Tomorrow she will work four more hours to finish out the week along with a total of 10 hours. How many hours has she

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