Linked Questions

2
votes
4answers
14k views

Lunch Meeting Probability for two person to meet in given 1 hour slot and none would wait more then 15 minute. [closed]

Two friends who have unpredictable lunch hours agree to meet for lunch at their favorite restaurant whenever possible. Neither wishes to eat alone and each dislikes waiting for the other, so they ...
4
votes
2answers
2k views

Coffee Shop Meeting

$A$ and $B$ decide to meet at a cafe between $5$ p.m. and $6$ p.m. They agree that the person who arrives first at the cafe would wait for exactly $15$ minutes for the other. If each of them arrives ...
3
votes
1answer
3k views

Probability that friends meet.

Two friends decide to meet between 1PM and 2PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. What is the probability that they ...
0
votes
2answers
859 views

Probability of waiting before meeting in case of two uniformly distributed random variables

I have a question that goes like this. Two people, X and Y, decide to meet at a particular time. The probability of them both being late is uniformly distributed between 0 and 60. Person X is always ...
1
vote
1answer
633 views

Meeting probability generalized: different wait times and number of meetings

I am looking to extend the problem of two people meeting for lunch, for example as found here: Chance of meeting in a bar However, I am trying to generalize this problem in two ways which, in ...
1
vote
2answers
295 views

Probability Xavier and Yolanda meet for lunch

Xavier and Yolanda plan to meet for lunch between noon and 1 p.m. They arrive independently with uniform distribution on [0, 1]. Yolanda will wait 30 min. for Xavier, but Xavier will only wait 15 min. ...
1
vote
2answers
262 views

Combined probability distribution function of two uniformly distributed random variable.

I was solving a uniform probability distribution question, the question was : $\\$ probability of meeting two people A and B between 1 PM and 2 PM, if none of them waits more than 15 minutes for the ...
0
votes
1answer
379 views

two people meeting, uniform distribution

Two people, A and B meet in a bar between 6 pm and 7 pm. They arrive independently of each other, evenly distributed between 6 pm and 7 pm. The first person who arrived, do not wait more than 15 ...
0
votes
1answer
284 views

Difference between two $U(0,1)$

Problem: Person $X$ and $Y$ are having a meeting. Person $X$ arrives at a meeting somewhere between $9$ and $10$, the arrival time is uniformly distributed. Person $Y$ arrives at a meeting somewhere ...
1
vote
2answers
113 views

A Problem Involving Two Sentries

Consider two sentries that are patroling on a road that is 2 miles long. They are sent to points chosen independently and at random on the road. I want to find the probability that the sentries will ...
2
votes
0answers
122 views

Chance of arriving first

I'd like to solve the following homework: A man and a woman agree to meet at a certain location about 8:30 p.m. If the man arrives at a time uniformly distributed between 8:15 and 8:45 and the woman ...
1
vote
1answer
68 views

Probability of one event happening to two different individuals within a time frame

What is the probability of the same event happening to two (or more) different independent people within a specified time frame? For example, if I wave my hands to my friend, there is a probability ...
0
votes
2answers
75 views

Airport shuttle and Jimmy

The airport shuttle arrives at the hotel at a random time between 7.30 am and 7.45 am. Jimmy waits at the hotel a random time between 7.30 am and 7.45 am (independently of the shuttle) and he will ...
1
vote
1answer
71 views

What is the probability distribution for fitting two equal circles inside a fixed length (L)?

Suppose there is a line with fixed length $L$, and $x$ is the position of the points on this line ranging from $0$ to $L$, i.e. $0 \leq x \leq L$, then what is the probability distribution of fitting ...
1
vote
2answers
23 views

Probability for Uniform distributions

Two people decide to meet at a cafeteria sometime between 12:00 and 13:00. If, each and one of them arrive at random chosen times during the hour, and wait 45 minutes on each other (or until the clock ...

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