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Duckworth Loser Method


Rajiv

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its very decent system, has its drawbacks. it works on the theory how much resources you have left when rain hits and overs are reduced. Resources means number of wicket and number of overs left...India had only 4 wkts in hand when rain hit us..if we were 2 down, Australia would have been chasing 220 odd runs, even if were all out 194..

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its very decent system, has its drawbacks. it works on the theory how much resources you have left when rain hits and overs are reduced. Resources means number of wicket and number of overs left...India had only 4 wkts in hand when rain hit us..if we were 2 down, Australia would have been chasing 220 odd runs, even if were all out 194..
But how on earth the score will increase.... may be the overs can be reduced which is acceptable
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well its simple lets say India were 130 for 2 after 30 overs...they are going nicely setting up platform..rain comes in, there goes 7-8 overs...so India lose those 7 overs..and now they have to come out and throw their bats...as 13 overs are remaining..they end up scoring 210 all out in 43 overs..... D/L calculates how many runs India lost out if they had played those 7 overs in normal circumstances..and thats where they add runs.

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well its simple lets say India were 130 for 2 after 30 overs...they are going nicely setting up platform..rain comes in, there goes 7-8 overs...so India lose those 7 overs..and now they have to come out and throw their bats...as 13 overs are remaining..they end up scoring 210 all out in 43 overs..... D/L calculates how many runs India lost out if they had played those 7 overs in normal circumstances..and thats where they add runs.
kabz, give me a math calc plz
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well its simple lets say India were 130 for 2 after 30 overs...they are going nicely setting up platform..rain comes in, there goes 7-8 overs...so India lose those 7 overs..and now they have to come out and throw their bats...as 13 overs are remaining..they end up scoring 210 all out in 43 overs..... D/L calculates how many runs India lost out if they had played those 7 overs in normal circumstances..and thats where they add runs.
Thanxs mate... interesting but vague. India lost 5 overs and only 2 runs added!!!
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Worked examples Example 1: Premature curtailment of Team 2's innings Team 1 have scored 250 runs from their 50 available overs and Team 2 lose 5 wickets in scoring 199 runs in 40 overs. Play is then stopped by the weather, the rain refuses to relent and the match is abandoned. A decision on the winner is required. Team 1's innings: this was uninterrupted, so the resource percentage available is 100%. Team 2's innings: resource % available at start of innings = 100% After 40 overs Team 2 have 10 overs left and have lost 5 wickets. From table, resource % left at suspension of play = 27.5% As play is abandoned all this remaining resource is lost. Hence resource % available for Team 2's innings = 100 - 27.5 = 72.5% Team 2 had less resource available than Team 1 and so to give the target Team 1's score must be scaled down by the ratio of resources, 72.5/100 Team 1 scored 250, so Team 2's 'target' is 250 x 72.5/100 = 181.25 For competitions commencing April 1999, the next lower whole number, 181, is the score to tie, or the 'par score' for the match situation at the stoppage. As there is to be no further play, the winner is decided according to whether or not the par score has been exceeded. With 199 runs on the board, they have exceeded this by 18 and so are declared the winners by 18 runs. Note : The above result is quite fair as Team 2 were clearly in a strong position when play was stopped and would very likely have gone on to win the match if it hadn't rained. Most other methods of target revision in use would, unfairly, make Team 1 the winners. The average run rate method gives 201 to win, the ICC (1995) method gives 227 and the parabola method gives 226. [setting the target by the method of Discounted Total Runs - the Australian rain-rule - requires knowledge of the runs made by Team 1 from their most productive overs but the target would almost certainly be no lower than that required under average run rate and would probably be much higher so that Team 2 would very probably lose by this method as well.] Example 2: Interruption to Team 2's innings A one-day match has been shortened to 40 overs per side before it commenced. Team 1 have scored 200 runs from their 40 available overs and Team 2 lose 5 wickets in scoring 140 runs in 30 overs. Play is then suspended and 5 overs are lost. What is Team 2's revised target? Team 1's innings: At the start of 40 over innings resource percentage available = 90.3% Team 2's innings: resource % available at start of 40 over innings = 90.3% After 30 overs Team 2 have 10 overs left and have lost 5 wickets. From table, resource % left at start of suspension = 27.5% 5 overs are lost, so when play is resumed 5 overs are left. From table, resource % left at resumption of play = 16.4% Hence resource % lost = 27.5 - 16.4 = 11.1% so resource % available for Team 2's innings = 90.3 - 11.1 = 79.2% Team 2 had less resource available than Team 1 and so to give the target Team 1's score must be scaled down by the ratio of resources, 79.2/90.3 Team 1 scored 200, so Team 2's 'target' is 200 x 79.2/90.3 =175.42 which rounds down to 175 to tie with a revised target of 176. They then require a further 36 runs to win from 5 overs with 5 wickets in hand. Example 3: Interruption to Team 1's innings In an ODI, Team 1 have lost 7 wickets in scoring 190 runs in 40 overs from an expected 50 when extended rain leads to Team 1's innings being terminated and Team 2's innings is also restricted to 40 overs. What is the target for Team 2? Because of the different stages of the teams' innings that their 10 overs are lost, they represent different losses of resource. Team 1 have lost 7 wickets and had 10 overs left when the rain arrived and so from the table you will see that the premature termination of their innings has deprived them of the 20.6% resource percentage they had remaining. Having started with 100% they have used 100 - 20.6 = 79.4%; in other words they have had 79.4% resources available for their innings. Team 2 will also receive 40 overs. With 40 overs left and no wicket lost you will see from the table that the resource percentage which they have available (relative to a full 50 over innings) is 90.3%. Team 2 thus have 90.3 - 79.4 = 10.9% greater resource than had Team 1 and so they are set a target which is 10.9% of 225, or 24.53, more runs than Team 1 scored. [225 is the average in 50 overs for ODIs] Using the sum 190 + 24.53 = 214.53 rounding down gives 214 to tie and Team 2's target is 215 in 40 overs. Note: All other target resetting methods currently in use make no allowance for this interruption. They set the target of 191 simply because both teams are to receive the same number of overs. This is clearly an injustice to Team 1 who were pacing their innings to last 50 overs when it was curtailed, whereas Team 2 knew in advance of the reduction of their innings to 40 overs and have been handed an unfair advantage. D/L neutralises this by setting Team 2 a higher target than the number of runs Team 1 actually scored.

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Table 1: Extract from the table of resource percentages remaining Wickets lost Overs left 0 2 5 7 9 50 100.0 83.8 49.5 26.5 7.6 40 90.3 77.6 48.3 26.4 7.6 30 77.1 68.2 45.7 26.2 7.6 25 68.7 61.8 43.4 25.9 7.6 20 58.9 54.0 40.0 25.2 7.6 10 34.1 32.5 27.5 20.6 7.5 5 18.4 17.9 16.4 14.0 7.0 Reading the table The single table applies to all lengths of one-day matches from 50 overs-per-side downwards. Because this length of match is by far the most common, the resources listed in the table are expressed as percentages of those available at the start of a 50-over innings. Thus when there are 50 overs still to be received and no wickets have been lost, the resource percentage available is 100%. A 40-over innings starts with a resource percentage of 90.3% relative to a 50 over innings. An innings shortened to 25-overs before it starts commences with a resource percentage of 68.7% relative to 50-over innings. (Although such innings have only half the overs of a 50-over innings they have all 10 wickets and so have much more than half the resources.) In order to determine the correct resource percentage the batting side has remaining at any stage of its innings, the number of overs left must be identified. This number of overs left, in conjunction with the number of wickets lost, is then used to read the resource percentage remaining from the table. For example, suppose that after 20 out of 50 overs a team have lost 2 wickets. They have 30 overs left. From the table you will see that the resource percentage remaining is 68.2%. Suppose now that there is an interruption in play and 10 overs are lost from the innings. When play can resume there are only 20 overs left but there are still, of course, 2 wickets down, and the table now tells us that the resource percentage remaining is 54.0%. Thus the shortening of the innings has caused the team to lose a resource percentage of 68.2 - 54.0 = 14.2%. Having started with a resource percentage of 100% and lost 14.2%, then if they complete their innings with no further loss of overs, they will have had a resource percentage available for their innings of 100 - 14.2 = 85.8%.

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