For determining the probability of falling of a ceiling fan, which definition of probability can be applied? 

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SSC CGL Tier-II (JSO) 2022 Official Paper (Held On: 4 March 2023)
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  1. Mathematical definition 
  2. Classical definition 
  3. Empirical definition 
  4. Axiomatic definition 

Answer (Detailed Solution Below)

Option 3 : Empirical definition 
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
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Detailed Solution

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The correct answer is Empirical definition 
Key Points

  • When determining the probability of a ceiling fan falling, the empirical definition of probability can be applied. The empirical definition of probability relies on observed frequencies or data to estimate the likelihood of an event.
  • In this context, one would collect data on the occurrence of ceiling fan falls and calculate the proportion or relative frequency of such events. This proportion or relative frequency would then serve as an estimate of the probability of a ceiling fan falling, based on the observed data.

Additional Information

  • The empirical definition of probability is based on observed frequencies or data. It involves calculating the probability of an event by analyzing the relative frequency of its occurrence in a given set of data. This definition is often used when the underlying probability distribution is unknown or difficult to determine theoretically. 
  • In the empirical definition, probabilities are estimated by collecting data through observation or experimentation. The relative frequency of an event occurring is calculated as the number of times the event occurs divided by the total number of observations. This relative frequency is then considered an estimate of the probability of the event happening.
  • For example, let's say we want to determine the probability of flipping a fair coin and getting heads. We conduct an experiment by flipping the coin 100 times and observe that heads occurs 60 times. Based on this empirical data, we estimate the probability of getting heads as 60/100, which simplifies to 0.6 or 60%.

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