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Duckworth-Lewis calculator

Rain turns overs and wickets into a resource percentage. This calculator uses the published Standard Edition table to set a revised target for the side batting second.

Calculator

Team 1 resources (%)
100.0
Team 2 resources (%)
89.3
Revised target for Team 2
224
Result
Team 2 need 224 runs to win. Team 2 have 40 overs.

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How this calculator works

The Duckworth-Lewis method replaces the losing side's overs with a resource percentage that combines overs remaining and wickets lost. A team with more overs and more wickets has more resources to score runs, and the table gives the percentage remaining for every combination. The Standard Edition uses the table published with the method. When Team 2 has more resources than Team 1, the target rises by the extra resource times G50, the average first-innings total. When Team 2 has fewer, the target falls in proportion. Results are floored and one run is added. An interruption during the chase produces a target and a par score; if the match is abandoned, the par score decides the result. This page uses whole-over table values, so an interruption in the middle of an over is rounded to the nearest completed over.

Formula

Resource loss = resources remaining before the interruption - resources remaining after it. Team 1 resources R1 = starting resources - resource lost. Team 2 resources R2 = resources used before an interruption + resources remaining after it. If R2 < R1: target = floor(S x R2 / R1) + 1. If R2 = R1: target = S + 1. If R2 > R1: target = floor(S + (R2 - R1) x G50 / 100) + 1. Par score = floor(S x R2 / R1) at the point of interruption.

Worked example

In a 50-over match Team 1 scores 250. If rain reduces Team 2 to 40 overs before their innings, R1 is 100 and R2 is 89.3, so the target is floor(250 x 0.893) + 1 = 224. If Team 2 are 30 overs from the end with 2 wickets down when rain reduces them to 20 overs, they used 100 - 67.3 = 32.7 resources and have 52.4 left, for R2 = 85.1. The target becomes floor(250 x 0.851) + 1 = 213, and the par score at the interruption is floor(250 x 0.327) = 81.

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Frequently asked questions

Is this the Professional Edition?

No. This is the Standard Edition, which uses the published resource table and G50. The Professional Edition uses a computer model and is used for international matches; its numbers can differ by a run or two.

What is G50?

It is the average score in an uninterrupted 50-over innings. The Standard Edition uses 245 for full-member internationals and recommends 200 for women, under-19 and associate matches. Use the figure appropriate to your competition.

Why can the target go up when Team 1 were interrupted?

If Team 1 lost resources, Team 2 now has relatively more. The Standard Edition adds runs for the extra resource at the G50 rate, so the target can rise above Team 1's score plus one.

What if rain ends the chase?

Compare Team 2's score with the par score. Above par, Team 2 win; level, the match is tied; below par, Team 1 win. The target is for a completed chase, while the par score is the comparison at the point of abandonment.

Sources

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