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

Evaluating functions, Next we have to talk about evaluating functions.  Eva...

Next we have to talk about evaluating functions.  Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at

What is the cost to generate, The production costs per week for generating ...

The production costs per week for generating x widgets is given by, C ( x ) = 500 + 350 x - 0.09 x 2 ,         0 ≤ x ≤ 1000 Answer following questions.  (a) What is the c

Equation of line which perpendicular to the given line, Perpendicular to th...

Perpendicular to the line given by 10 y + 3x= -2 For this part we desire the line to be perpendicular to 10 y + 3x= -2 & so we know we can determine the new slope as follows,

Sample space, Sample Space is the totality of all possible out...

Sample Space is the totality of all possible outcomes of an experiment. Hence if the experiment was inspecting a light bulb, the only possible outcomes

To find out the volume of a cube give formula, To find out the volume of a ...

To find out the volume of a cube which measures 3 cm by 3 cm by 3 cm, what formula would you use? The volume of a cube is the length of the side cubed and the length of the sid

Homework, How do you simplify 10:30:45

How do you simplify 10:30:45

Find integer if consecutive even integers is the number 126, The sum of two...

The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a

Quadratic equation, What do we mean by the roots of a quadratic equation ?

What do we mean by the roots of a quadratic equation ?

Mathematics Warm-Ups for CCSS, Ask question #Minimum 100 words accepted wha...

Ask question #Minimum 100 words accepted what is a ratio

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