2 person's meeting probability

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In summary, the conversation discusses a meeting between Mykola and Petro at a bus station between 9:00P.M. and 10:00P.M. The first person to arrive will wait only 15 minutes for the other person, otherwise they will leave. The probability of them meeting is equal to 1 minus the probability of them not meeting, which is calculated to be 7/16.
  • #1
crina26
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Homework Statement



Mykola and Petro have a meeting on a bus station between 9:00P.M.
and 10:00P.M. The guy that come 1st waits only 15 minutes for the other guy and
if the 2nd guy doesn't come during this time the 1st guy will go away. Find a
probability that Mykola and Petro will meet each other assuming that Mykola's and
Petro's times of arriving are are equally likely on interval [9,10]

Homework Equations





The Attempt at a Solution


i will highly appreciate all your hints
 
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  • #2
What have you tried so far? You have to do some work and let us know where you're stuck.
 
  • #3
i got Probability(meeting)= 1- 2025/3600=7/16... am i right?
 

1. What is the probability of two people meeting in a group of 10?

The probability of two people meeting in a group of 10 is approximately 18.18%. This can be calculated by dividing the number of ways two people can meet (9) by the total number of possible combinations (45) in a group of 10.

2. How does the size of the group affect the probability of two people meeting?

The larger the group, the higher the probability of two people meeting. This is because as the number of people in the group increases, so does the number of possible combinations and interactions between individuals.

3. Is there a formula for calculating the probability of two people meeting in a group?

Yes, there is a formula for calculating the probability of two people meeting in a group. It is n(n-1)/2N, where n is the number of people and N is the total number of possible combinations. This formula is also known as the handshake problem.

4. What factors can affect the probability of two people meeting?

The probability of two people meeting can be affected by various factors such as the size of the group, the frequency and duration of interactions between individuals, and the location or setting of the meeting.

5. Can the probability of two people meeting be calculated in real-life situations?

Yes, the probability of two people meeting can be calculated in real-life situations. However, it may be more challenging to determine the exact probability due to the dynamic nature of human interactions and the presence of unpredictable variables.

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