10. What is the probability (give in %) that in a group of 3 people A....
10. What is the probability (give in %) that in a group of 3 people A. No two people have the birthday in the same month? B. At least two people have the birthday in the same month?
Homework Answers
A.
For a group of 3 people, number of possible ways to have birthday months = 12 * 12 * 12 = 123 = 1728 (Each person can have birthday in any of 12 months)
Number of possible ways to have birthday months so that no people share the birthday months = 12P3 = 12! / (12 - 3)!
= 12! / 9! = 12 * 11 * 10 = 1320
Probability that in a group of 3 people, no two people have the birthday in the same month = Number of possible ways to have birthday months so that no people share the birthday months / number of possible ways to have birthday months in 3 people
= 1320 / 1728
= 0.7639
= 76.39%
B.
Probability that at least two people have the birthday in the same month = 1 - Probability that no people have the birthday in the same month
= 1 - 0.7639 = 0.2361
= 23.61%
Add Answer to:
10. What is the probability (give in %) that in a group of 3
people A....
Let ?? be the probability that in a group of ? people, at least two share...
Let ?? be the probability that in a group of ? people, at least two share the same birthday. Assume there are 365 days in a year, and that all birthdays are equally likely. a) What is the probability that in a group of 2, 3, 4, or 5 people, at least two have the same birthday? ?2=? ?3=? ?4=? ?5=?
A group of thirty-six people is selected at random. what is the probability that at least...
A group of thirty-six people is selected at random. what is the probability that at least two of them will have the same birthday? round to four decimals
We proved in class that in a group of 23 people, the probability of two people...
We proved in class that in a group of 23 people, the probability of two people having the same birthday is 0.5073. Also, in a group of 100 people, the probability of two people having the same birthday is 0.9999998. On late-night television’s The Tonight Show with Johnny Carson (on air during 1962-1992), Carson was discussing the birthday problem. At a certain point, he remarked to his audience of approximately 100 people “Great! There must be someone here who was...
We have seen that the probability that at least two people in a group of 23...
We have seen that the probability that at least two people in a group of 23 people share the same birthday is approximately 0.5. In this question we are interested in the probability that at least three people in a group of 23 people share the same birthday. Draw 23 numbers independently from the integers {1, 2, . . . , 365} with each number equally likely to be drawn. Let E be the event that at least one of...
10. If there are 25 people in a room, what is the probability that at least...
10. If there are 25 people in a room, what is the probability that at least two people have the same birthday? 11. A family has three children. Find the conditional probability of having two boys and a girl given that the first born is a boy.
5.36. (a) In a group of 23 strangers, what is the probability that at least two of bout if there ...
5.36. (a) In a group of 23 strangers, what is the probability that at least two of bout if there are 40 strangers? In a group them have the same birthday? How a of 200 strangers, what is the probability that one of them has the same birthday as your birthday? (Hint. See the discussion in Sect. 5.4.1.) (b) Suppose that there are N days in a year (where N could be any number) and that there are n people....
(probablity): given 3 groups of people: first group with 20 people, second group with 30 people,...
(probablity): given 3 groups of people: first group with 20 people, second group with 30 people, third group with 45 people. a)for each group: calculate the probability that at least 2 people will have a birthday in the same day b)write a program that generates random dates and run it on each group. how are the results obtained from running the program in comparison to the probabilities calculated for each group?
Consider the experiment, called the birthday problem , where our task is to determine the probability...
Consider the experiment, called the birthday problem , where our task is to determine the probability that in a group of people of a certain size there are a least two people who have the same birthday (the same month and day of month). Suppose there is a room with 41 people in it, find the probability that at least two people have the same birthday
3. (a) Show that in a group of 6 people, there are either 3 either mutual...
3. (a) Show that in a group of 6 people, there are either 3 either mutual friends or 3 mutual strangers. [3 marks) (b) Find the smallest number of people in a group such that there is actually about a probability of 50 that two of them have the same birthday. Justify. [3 marks]
What is the probability that in a room of n people, at least three of them...
What is the probability that in a room of n people, at least three of them have the same birthday? Explain all the terms in your solution. What is the fewest amount of people such that the probability of at least three of these people having the same birthday is greater than 1/3? You will have to code your solution from the first question and plug in values for n. Include the code snipped you used to solve this.
5.36. (a) In a group of 23 strangers, what is the probability that at least two of bout if there are 40 strangers? In a group them have the same birthday? How a of 200 strangers, what is the probability that one of them has the same birthday as your birthday? (Hint. See the discussion in Sect. 5.4.1.) (b) Suppose that there are N days in a year (where N could be any number) and that there are n people....
3. (a) Show that in a group of 6 people, there are either 3 either mutual friends or 3 mutual strangers. [3 marks) (b) Find the smallest number of people in a group such that there is actually about a probability of 50 that two of them have the same birthday. Justify. [3 marks]
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago