Earthquake Average Time Calculation
The problem asks for the average time between successive earthquakes greater than Magnitude 6 in the Garhwal Himalayas, given the annual probability.
Given Probability
- Probability ($P$) of an earthquake > Magnitude 6 occurring in a year = 0.04
Calculating Average Time Between Events
For events that occur randomly over time at a constant average rate (like earthquakes in this model), the average time between successive events is the reciprocal of the probability (or rate) per unit time.
The formula is:
Average Time = $ \frac{1}{P} $
Calculation
Substitute the given probability into the formula:
Average Time = $ \frac{1}{0.04} $
Average Time = $ \frac{1}{\frac{4}{100}} $
Average Time = $ \frac{100}{4} $
Average Time = 25 years
Conclusion
The average time between successive occurrences of earthquakes greater than Magnitude 6 in the Garhwal Himalayas is 25 years.
Important Questions from Probability
Two dice are thrown simultaneously. What is the probability of getting the same number on both the dice?
The probability of being 53 Sundays in year 2020 is-
Three dice are thrown randomly. The probability of coming 3 in at least one die is
The probability of having 53 Tuesdays in an ordinary year is:
When two dice are tossed simultaneously, the probability that the sum of the numbers appearing on both the dice is 8 will be
