What's the probability that in a room of k people, exactly two share the same birthday?...

What's the probability that in a room of k people, exactly two share the same birthday? Assume 365 days (no leap year).

Expert Solution

orchestra answered 2 years ago

Determine the probability that in a group of 5 people, at least two share the same...

Determine the probability that in a group of 5 people, at least two share the same birth month. Assume that all 12 months are equally likely to be someone’s birth month. a) How many choices are there for the birth months of these 5 people (without any restrictions)? b) How many choices are there for the 5 people to have all different birth months? c) Report the probability that in a group of 5 people, at least two share the...

1) what's the probability that someone else has the same birthday as you (assuming neither has...

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There are 4 people in a room. What’s the probability that there are two people born...

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Two women in a group of 25 people shared the same name and the same birthday....

Two women in a group of 25 people shared the same name and the same birthday. Discuss whether this is a surprising result. Do you think it is more likely that you will find a pair of people in a room of 25 who share a first name or a pair of people who share a birthdate?

The birthday problem considers the probability that two people in a group of a given size...

The birthday problem considers the probability that two people in a group of a given size have the same birth date. We will assume a 365 day year (no leap year birthdays). Code set-up Dobrow 2.28 provides useful R code for simulating the birthday problem. Imagine we want to obtain an empirical estimate of the probability that two people in a class of a given size will have the same birth date. The code trial = sample(1:365, numstudents, replace=TRUE) simulates...

It is surprising (but true) that if 23 people are in the same room, there is...

It is surprising (but true) that if 23 people are in the same room, there is about a 50% chance that at least two people will have the same birthday. Suppose you want to estimate the probability that if 30 people are in the same room, at least two of them will have the same birthday. You can proceed as follows. a. Generate random birthdays for 30 different people. Ignoring the possibility of a leap year, each person has a...

Birthday problem. Suppose that people enter a room one at a time. How people must enter...

Birthday problem. Suppose that people enter a room one at a time. How people must enter until two share a birthday? Counterintuitively, after 23 people enter the room, there is approximately a 50–50 chance that two share a birthday. This phenomenon is known as the birthday problem or birthday paradox. Write a program Birthday.java that takes two integer command-line arguments n and trials and performs the following experiment, trials times: Choose a birthday for the next person, uniformly at random...

What is the probability that out of four people, no two were born on the same...

What is the probability that out of four people, no two were born on the same day of the week?

a) The probability of getting exactly 2 sets of 3( of the same kind) in a...

a) The probability of getting exactly 2 sets of 3( of the same kind) in a 7-card from a regular deck of cards is: b)If you roll a fair, 6-sided die 5 times, the probability that the sum of all5 rolls is greater than 7 is: c) If you roll a 6-sided die 3 times, the probability that the product of the three rolls will be even is: d) if you flip a fair coin 10 times, the probability of...

Can two individuals share exactly the same environment? Please briefly explain your answer. Based on what...

Can two individuals share exactly the same environment? Please briefly explain your answer. Based on what you know, which set of individuals below would most likely have the most closely shared environment. Please briefly explain your answer. a. Mother and Daughter b. One male friend and one female friend c. Two female friends d. Monzygotic twins

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