/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.2.47 If there are 12strangers in a ro... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q.2.47 (page 51)

If there are 12strangers in a room, what is the probability that no two of them celebrate their birthday in the same month?

Short Answer

Expert verified

The probability that no two of them celebrate their birthday in the

the same month is12!1212.

Step by step solution

01

Given Information.

There are 12strangers in a room,

02

Explantion.

If 12people are in the room:

The outcome space of the experiment isSx1,x2,x3,鈥�x12:xi鈭�{1,2,3,鈥�12} where the vector describes their months of birth.

because each element of the vector can be chosen inways.

As each outcome from the outcome space is equally likely, the Axioms give:

(is the number of elements in the set)

And the number of sample events in the event that no two people share their month of birth isthe number of different valued vectors insize.


Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

1. A cafeteria offers a three-course meal consisting of an entree, a starch, and a dessert. The possible choices are given in the following table:

Course
Choices
Entree
Chicken or roast beef
Starch
Pasta or rice or potatoes
Dessert
Ice cream or Jello or apple pie or a peach

A person is to choose one course from each category.

(a)How many outcomes are in the sample space?

(b)Let Abe the event that ice cream is chosen. How many outcomes are inA?

(c)Let Bbe the event that chicken is chosen. How many outcomes are inB?

(d)List all the outcomes in the eventAB.

(e)LetCbe the event that rice is chosen. How many outcomes are inC?

(f)List all the outcomes in the eventABC.

A basketball team consists of 6 frontcourt and 4 backcourt players. If players are divided into roommates at random,what is the probability that there will be exactly two roommate pairs made up of backcourt and a frontcourt player?

Poker dice is played by simultaneously rolling 5dice. Show that

(a) P{no two alike}

(b) P{one pair}

(c) P{two pair}

(d) P{three alike}

(e) P{full house}

(f) P{four alike}

(g) P{five alike}

Prove thatP(EFc)=P(E)鈭�P(EF).

In an experiment, die is rolled continually until a 6appears, at which point the experiment stops. What is the sample space of this experiment? Let Endenote the event that nrolls are necessary to complete the experiment. What points of the sample space are contained in En? What is鈭狤n1鈭�c?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.