What Is the Probability of the Man Catching the Bus?

In summary, the conversation discusses a probability question about a man arriving at a bus station and taking a bus. The man arrives between [12:59 am, 1:01 pm] and waits 30 seconds before taking a taxi. The bus arrives between [12:58 am, 1:02 pm] and waits 15 seconds before leaving. The question asks for the probability of the man taking the bus, assuming the time is continuous. The conversation also suggests that this may be a homework problem related to elementary statistics and prompts the person to provide their own solution.
  • #1
Alexsandro
51
0
Interesting question about probability. Someone could help me to find the answer ?
"One bus arrives in the bus station between [12:58 am, 1:02 pm] and wait 15 seconds before to go out. One man arrives in the station bus between [12:59 am, 1:01 pm] and wait 30 seconds before to take a tax. What's the probability of the man to take the bus ? The time is continuous."
 
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  • #2
I don't see anything interesting about it- it just doesn't make sense. The man arrives on the bus and waits 30 seconds before taking a taxi? Why should he get back on the bus?? Are we to assume that the bus would go in the same direction as he would take a taxi??
 
  • #3
this is probably a homework problem relating to elementary statistics. Show us your suggestion on how you would adequately account for the problem. hint: find the ranges of the time intervals and the overlap.
 

1. What is probability?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

2. How is probability calculated?

The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is known as the classical probability or the "counting method". Other methods of calculating probability include empirical, subjective, and axiomatic approaches.

3. What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumptions, while experimental probability is based on actual data collected from experiments or observations. Theoretical probability can be used to predict the likelihood of an event, while experimental probability gives a more accurate representation of the event's occurrence.

4. What is the role of probability in science?

Probability plays a crucial role in science as it allows scientists to make predictions, test hypotheses, and draw conclusions based on data. It is used in fields such as genetics, physics, and psychology to understand and explain natural phenomena.

5. Can probability be used to make accurate predictions?

While probability can provide a good estimate of the likelihood of an event, it cannot guarantee the outcome. Probability is based on assumptions and can be affected by various factors such as bias, randomness, and sample size. Therefore, it is important to interpret and use probability carefully when making predictions.

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