A tutorial class of Mathematics III consists of 7 students. Assume that there are 365 days in a year, find the probability that at least one pair of the students would have birthdays on the same day, without considering the year of birth.

A tutorial class of Mathematics III consists of 7 students. Assume that there are 365 days in a year, find the probability that at least one pair of the students would have birthdays on the same day, without considering the year of birth.

Name: A tutorial class of Mathematics III consists of 7 students. Assume th
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A tutorial class of Mathematics III consists of 7 students. Assume that thereare 365 days in a year, find the probability that at least one pair of the studentswould have birthdays on the same day, without considering the year of birth.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Two balls are drawn in succession out of a box containing 3 red and 2 white balls. Find the…

A: From the provided information,Two balls are drawn in succession out of a box containing 3 red and 2…

Q: Four girls and four boys stood randomly in a line. What is the probability that the boys stand…

Q: Find the probability that both of the marbles drawn are red

A: It is given that Number of red marbles = 8 Number of white marbles = 13 Total number of marbles = 8…

Q: Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the…

A: The objective of this question is to find the probability that a randomly picked three-digit number,…

Q: A ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: Suppose a batsman can hit the ball 50% of the time. If the batsman is given 3 attempts at hitting…

Q: If the probability That a randomly selected murder resulted from a rifle or shotgun is 0.061 then if…

A: From the provided information,The probability that a randomly selected murder resulted from a rifle…

Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…

A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.

Q: Compute the probability that two or more students in a class of 20 students have the same birthday.

A: From the provided information, A class has 20 students. Assume that every year has 365 days. If the…

Q: Suppose a jar contains 12 red marbles and 17 blue marbles. If you reach in the jar and pull out 2…

A: We have to find out given probabiity...

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: Exc The following observations have been arranged in ascending order. 28, 35, 38, 54, 61, x+2,…

A: If the number of observations are even then we use the formula for median, Deciles and percentiles…

Q: A bunch of 100 carrots were harvested from a garden. The farmer inspected four randomly selected…

A: There are total 100 carrots. 5 carrots are rotten. So (100-5)=95 carrots are good. The farmer can…

Q: Out of a group of 10 patients treated with a new drug, 4 suffered a relapse. If 3 patients are…

Q: Find the probability that 3 randomly selected people all have different birthdays. Ignore leap…

A: Solution-: We want to find the probability that 3 randomly selected people all have different…

Q: One card is drawn at random from a well shuffled deck of 52 cards. If each outcome is likely,…

A: The provided information is as follows:The well-shuffled deck of cards are .One card is drawn…

Q: If 8 people are randomly selected, find the probability that no 2 of them have the same birthday.…

A: Given: Total people = 8 To find: The probability that 8 people have different birthday.

Q: A list contains the names of seven anthropology students, three sociology students, and two…

A: Formula used: Probability= favorable response divided by total number of sample size

Q: Suppose a jar contains 19 red marbles and 33 blue marbles. If you reach in the jar and pull out 2…

A: Using the given information we find the probability that both marbles are red ( without replacement)

Q: Suppose a jar contains 14 red marbles and 27 blue marbles. If you reach in the jar and pull out 2…

Q: A number of 5 different digits is written at random by use of the digits 1,2,3,4,5,6,8. Find the…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A woman has 10 pairs of shoes in disarray and on an untimely trip she chooses 12 shoes at random.…

Q: A total of 10 toys are sequentially and randomly chosen, without replacement from a toy box…

A: No.of red toys=4No.of blue toys=6Total no.of toys=10

Q: Assume that when adults with smart phones are randomly selected 56% of them use them in meetings or…

A: Here we need to find the required probability using the binomial distribution.

Q: A man and his wife appear in an interview for two vacancies in the same post. The probability of…

Q: A group of 30 people is selected at random. What is the probability that at least 2 of them will…

A: Given : A group of 30 people is selected at random. Question : What is the probability that at…

Q: If a fair coin is successively tossed, find the probability that the first head appears on the fifth…

Q: Five items are selected from a box of 15 items and inspected. The box is rejected if more than two…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: If there are 6 job applicants in a company, 4 are college graduates and 2 are not. If the owner…

Q: there are 6 jobs applicants in a company, 4 are college graduate and 2 are not. If the owner selects…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

100%

A tutorial class of Mathematics III consists of 7 students. Assume that there
are 365 days in a year, find the probability that at least one pair of the students
would have birthdays on the same day, without considering the year of birth.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

If 1 day of the week is chosen at random to be Mary's day to mow the lawn, what is the probability that Mary will mow the lawn, on a day that begins with "T"?
A box contains 15 bulbs out of which are 5 defective. If two bulbs are taken out, find the probability that the first is good and the second is defective 7
Suppose a jar contains 15 red marbles and 10 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time (same as drawing without replacement), find the probability that both are red.
Let be a lot of 20 defective items and 80 non-defective items, of which 2 are chosen without replacement. Find the probability that the second item chosen is defective.
In a class of 20 students, 5 are undergrads. For the final project, students randomly divided into 5 groups. What is probability that each group has only 1 undergrad?
Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the five digits: 1,2,3,4,5. What is the probability that this number exceeds 300?
Find the probability that 7 people selected at random will have 7 different birthdays.
Suppose, you have removed all but the numbered cards from a deck of playing cards. Now, you have to pick one random card from these 36 numbered cards. The number that the card shows is the number of dice you roll together. What is the probability that after rolling the dice, no odd number shows up?
The state runs a lottery once every week in which six numbers are randomly selected from 17 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. If a player enters one lottery each week, what is the probability that he will win at least once in the next 200 weeks? Report answer to 3 decimal places.
A company is to make 5 character codes, the first three characters being letters from the alphabet followed by 2 digits from 0-9. What is the probability that the code starts with the letter A and ends with the number 0 if repetition is allowed?