{"id":562,"date":"2011-11-10T13:27:12","date_gmt":"2011-11-10T18:27:12","guid":{"rendered":"http:\/\/heavytopspin.com\/?p=562"},"modified":"2011-11-10T13:27:12","modified_gmt":"2011-11-10T18:27:12","slug":"win-probability-tables-for-righties-and-lefties","status":"publish","type":"post","link":"https:\/\/www.tennisabstract.com\/blog\/2011\/11\/10\/win-probability-tables-for-righties-and-lefties\/","title":{"rendered":"Win Probability Tables for Righties and Lefties"},"content":{"rendered":"<p>As we&#8217;ve seen, right-handers serve more effectively to the deuce court than to the ad court, and lefties do the opposite. Based on available data, righties win about 64.0% of points to the deuce court against 62.1% to the ad court, while lefties exhibit a bigger difference, winning 59.3% in the deuce court, 62.8% in the ad court.<\/p>\n<p>(These numbers are different than those I originally published last week. There was a bug in my calculations; while it does not change any overall conclusions, it turns out that the lefty gap is considerably wider than the initial numbers showed.)<\/p>\n<p>While the differences are minor, they have some strategic implications. My previously-published win probability tables for a single game assume that players are consistent from point to point, regardless of the direction they serve. It would be foolish to generate new tables for each <em>player&#8217;s<\/em> tendencies, but it is possible to do the math separately for the populations of righties and lefties.<\/p>\n<p><strong>Implications<\/strong><\/p>\n<p>We start with a paradox. Given a righty server and a lefty server who win equal percentage of service points, the lefty has a better chance of winning a service game. The paradox is compounded by the fact that slightly more points are played in the deuce court, thanks to games ending at 40-15 and (much more rarely) at 15-40.<\/p>\n<p>Two things explain the lefty advantage. First, close games (those that reach 30-30 or deuce) always have equal numbers of deuce and ad points. When the balance between deuce and ad points reaches 50\/50, a 63% lefty server is a bit better than 63% (63.07%, to be exact), while a 63% righty server is a bit worse (62.96%.)<\/p>\n<p>Second, the wider difference in deuce\/ad outcomes for lefties makes it more likely that a lefty will keep himself in a game, fighting off break points and giving himself another chance to string two points together. As we&#8217;ll see in a moment, the difference at break point is the most important aspect of this table.<\/p>\n<p>The table below shows win probabilities for right-handed and left-handed servers who win 63% and 70% of service points. (63% is average for 2011 grand slam matches; 70% is a round number for a dominant serving performance.) Each row shows the likelihood of each type of server winning a game from the given point score.<\/p>\n<p>The most dramatic difference is&#8211;as expected&#8211;on break point at 30-40 or 40-AD. At both the 63% and 70% levels, left-handedness confers a 2% advantage over right-handedness. There is a noticeable advantage at 40-30 (and AD-40) as well, where the lefty has a better chance of finishing the game immediately, but it is only about one-third the effect of 30-40.<\/p>\n<p>Here is the full table for each type of server at each point. I expect that you&#8217;ll keep it handy each time you watch a match.<\/p>\n<pre>          63%     63%     70%     70%           \nSCORE      RH      LH      RH      LH           \n0-0    79.42%  79.65%  90.02%  90.26%           \n0-15   64.09%  65.36%  78.51%  79.71%           \n0-30   43.22%  43.52%  58.69%  58.88%           \n0-40   18.21%  19.28%  28.46%  29.97%           \n\n15-0   88.05%  88.63%  94.75%  95.15%           \n15-15  76.91%  77.22%  87.49%  87.66%           \n15-30  57.21%  58.72%  70.95%  72.64%           \n15-40  29.45%  29.62%  41.28%  41.55%           \n\n30-0   94.83%  94.92%  98.02%  98.04%           \n30-15  88.09%  88.81%  94.17%  94.72%           \n30-30  74.31%  74.46%  84.53%  84.62%           \n30-40  46.04%  48.36%  58.22%  61.04%  (40-AD)  \n\n40-0   98.66%  98.76%  99.56%  99.62%           \n40-15  96.48%  96.55%  98.61%  98.63%           \n40-30  90.23%  91.05%  95.17%  95.68%  (AD-40)  \n40-40  74.31%  74.46%  84.53%  84.62%<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>As we&#8217;ve seen, right-handers serve more effectively to the deuce court than to the ad court, and lefties do the opposite. Based on available data, righties win about 64.0% of points to the deuce court against 62.1% to the ad court, while lefties exhibit a bigger difference, winning 59.3% in the deuce court, 62.8% in &hellip; <a href=\"https:\/\/www.tennisabstract.com\/blog\/2011\/11\/10\/win-probability-tables-for-righties-and-lefties\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Win Probability Tables for Righties and Lefties<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[96],"tags":[],"class_list":["post-562","post","type-post","status-publish","format-standard","hentry","category-research"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/posts\/562","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/comments?post=562"}],"version-history":[{"count":0,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/posts\/562\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/media?parent=562"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/categories?post=562"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/tags?post=562"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}