The (DLS) Duckworth Lewis Calculator is a mathematical formula used in cricket to calculate the revised target score for the team batting second in a limited-overs match (ODI or T20) that has been interrupted by weather, reduced overs, or other delays.
It is designed to ensure a fair and statistically balanced contest between the two teams, even if the playing time has been reduced due to unforeseen circumstances.
Duckworth Lewis Calculator
Example 1:
- Team 1 scored 280 runs in 50 overs.
- The match was interrupted due to rain after 30 overs of the second innings.
- Team 2 was 150/3 at that point.
To calculate the revised target score for Team 2 using the Duckworth Lewis prediction, we need to input the following values:
Resources Remaining for Team 2 = 20 overs, 7 wickets
Total Resources = 50 overs for Team 1 + 30 overs for Team 2 = 80 overs
Score of Team 1 = 280 runs
Plugging these values into the formula:
Revised Target Score = (Resources Remaining for Team 2 / Total Resources) × (Score of Team 1)
= (20/80) × 280
= 0.25 × 280
= 70 runs
Therefore, the revised target score for Team 2 would be 70 runs from the remaining 20 overs.
Example 2:
- Team 1 scored 325 runs in 50 overs.
- The match was interrupted after 25 overs of the second innings due to bad light.
- Team 2 was 180/2 at that point.
Using the Duckworth Lewis Calculator:
Resources Remaining for Team 2 = 25 overs, 8 wickets
Total Resources = 50 overs for Team 1 + 25 overs for Team 2 = 75 overs
Score of Team 1 = 325 runs
Plugging these values into the formula:
Revised Target Score = (Resources Remaining for Team 2 / Total Resources) × (Score of Team 1)
= (25/75) × 325
= 0.33 × 325
= 108 runs (rounded off)
Therefore, the revised target score for Team 2 would be 108 runs from the remaining 25 overs.
These examples demonstrate how the Duckworth Lewis Calculator adjusts the target score based on the resources remaining and resources used by both teams, ensuring a fair and balanced contest even in interrupted limited-overs matches.
How Duckworth Lewis is Calculated?
The Duckworth Lewis method uses a complex mathematical formula that takes into account the following factors:
- Resources Available: The number of overs remaining, wickets in hand, and the current score when the interruption occurred.
- Resources Used: The number of overs and wickets already consumed by the batting team.
- Historical Scoring Patterns: The formula uses scoring data from past matches to determine the expected run rate at different stages of an innings.
The formula calculates the Resources Remaining for the team batting second and adjusts the target score accordingly.
The revised target score is determined by comparing the Resources Remaining for the team batting second with the Resources Used by the team batting first.
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What is Duckworth Lewis Predictor in Cricket?
In cricket, the Duckworth Lewis method is a widely accepted system for resetting targets in interrupted limited-overs matches.
It was developed by two British statisticians, Frank Duckworth and Tony Lewis, in the 1990s, and has been adopted by the International Cricket Council (ICC) and most cricket boards worldwide.
The primary objective of the Duckworth Lewis method is to maintain a fair and balanced contest between the two teams, even when the match has been disrupted by external factors such as rain, bad light, or any other unforeseen circumstances.
It ensures that the team batting second is not unduly advantaged or disadvantaged by the interruption.
Duckworth Lewis Calculation Formula
The Duckworth Lewis calculation formula is a complex mathematical equation that takes into account various factors, including the number of overs remaining, wickets in hand, and the current score at the time of the interruption.
The formula is based on extensive analysis of historical scoring patterns in limited-overs cricket matches.
The exact formula is proprietary and closely guarded by the ICC, but it can be expressed as:
Revised Target Score = (Resources Remaining for Team 2 / Total Resources) × (Score of Team 1)
Where:
- Revised Target Score is the adjusted target score for the team batting second.
- Resources Remaining for Team 2 is a complex calculation based on the number of overs and wickets remaining for the team batting second.
- Total Resources is the sum of the resources used by both teams.
- Score of Team 1 is the total score achieved by the team batting first.
The Duckworth Lewis Calculator is a widely accepted and trusted method for ensuring fairness in interrupted limited-overs cricket matches, and its use has become a standard practice in modern cricket.
Here are the answers to the questions, with markdown formatting and bold words where necessary:
Is the Duckworth Lewis method fair?
The Duckworth Lewis method is widely considered to be a fair and equitable system for resetting targets in interrupted limited-overs cricket matches.
It has been adopted by the International Cricket Council (ICC) and most cricket boards worldwide because it addresses the issue of fairness and balance when matches are disrupted.
The method takes into account various factors, such as the resources available and used by both teams, as well as historical scoring patterns, to determine a revised target score that provides an equal opportunity for both teams to win the match.
While the Duckworth Lewis method is not perfect and has been subject to occasional criticism, it is generally accepted as the most fair and statistically sound method available for handling interrupted limited-overs matches.
Its use has become a standard practice in modern cricket, ensuring that the outcome of a match is not unduly influenced by external factors beyond the teams’ control.
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