{"id":123361,"date":"2022-09-17T11:25:14","date_gmt":"2022-09-17T18:25:14","guid":{"rendered":"https:\/\/www.lasvegasadvisor.com\/gambling-with-an-edge\/?page_id=123361"},"modified":"2024-01-25T11:55:12","modified_gmt":"2024-01-25T19:55:12","slug":"estimation-of-true-count-using-the-red-7","status":"publish","type":"post","link":"https:\/\/www.lasvegasadvisor.com\/gambling-with-an-edge\/estimation-of-true-count-using-the-red-7\/","title":{"rendered":"Estimation of True Count Using the Red 7:"},"content":{"rendered":"\n<h4>Sensitivity of Blackjack True Count to Errors in Estimating Decks Remaining<\/h4>\n\n\n\n<p><strong>by Conrad Membrino<\/strong><br><strong>\u00a9 Blackjack Forum 1990<\/strong><\/p>\n\n\n\n<p>rc.r7 = red 7 running count<br>n = number of decks<br>tc = true count<br>dr = decks remaining<\/p>\n\n\n\n<p>rc.r7 = 2*n + (tc &#8211; 2) * dr<\/p>\n\n\n\n<p>Number of Decks = 8<\/p>\n\n\n\n<p>Red-7 Running Counts corresponding to various True Counts for an Eight deck game<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Eight Deck Game<\/td><td>rc.r7<\/td><\/tr><tr><td>rc.r7 = 23456 + (7p\/2) &#8211; TAp<\/td><td>decks played<\/td><\/tr><tr><td>tc<\/td><td>rc.r7<\/td><td>3<\/td><td>4<\/td><td>5<\/td><td>6<\/td><td>7<\/td><\/tr><tr><td>2<\/td><td>16<\/td><td>16<\/td><td>16<\/td><td>16<\/td><td>16<\/td><td>16<\/td><\/tr><tr><td>3<\/td><td>16 + dr<\/td><td>21<\/td><td>20<\/td><td>19<\/td><td>18<\/td><td>17<\/td><\/tr><tr><td>4<\/td><td>16 + 2*dr<\/td><td>26<\/td><td>24<\/td><td>22<\/td><td>20<\/td><td>18<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Estimation of true count with the Red 7 in an Eight Deck Game:<\/p>\n\n\n\n<ol><li>Estimate decks remaining<\/li><li>Compare Red 7 running count with 16, 16 + dr, or 16 + 2*dr for true counts of 2, 3, or 4<\/li><li>Use calculated true count with High-Low strategy indicies.<\/li><\/ol>\n\n\n\n<p>Sensitivity of True Count to Errors in Estimating Decks Remaining:<\/p>\n\n\n\n<ol><li>The Closer to the Pivot Point, the less sensitive the true count is to errors in estimating the decks remaining.<\/li><li>At the pivot point, ther true count is independent of the decks remaining<\/li><li>Pivot Point of the Red 7: True Count = 2<\/li><li>Pivot Point of High-Low: True Count = 0<\/li><li>At True Counts = 2:<br>(a) Red 7 is closer to its pivot point (tc=2) than the High-Low is to its pivot point (tc=0)<br>(b) Red 7 is less sensitive to errors in estimating decks remaining when calculating true count.<br>(c) Red 7 gives more accurate true counts than High-Low.<\/li><\/ol>\n\n\n\n<p>Example:<\/p>\n\n\n\n<p>A = Actual<br>E = Estimated<br>dr:a = actual dr<br>dr:e = estimated dr<br>tc:a = actual tc<br>tc:e = estimated tc<\/p>\n\n\n\n<p>Eight Decks<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>r7 = red 7<\/td><td>hi = high-low<\/td><\/tr><tr><td>tc.r7 = 2 + (rc.r7 &#8211; 16) \/ dr<\/td><td>tc.hl = rc.hl \/ dr<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Eight Decks<br>dr:a = 4 and tc:a = 3<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><\/td><td>Red 7<\/td><td><\/td><td><\/td><td>High-Low<\/td><\/tr><tr><td><\/td><td><\/td><td>estimated<\/td><td>error<\/td><td><\/td><td>estimated<\/td><td>error<\/td><\/tr><tr><td>dr:e<\/td><td>rc.r7<\/td><td>tc:e<\/td><td>(tc:e &#8211; tc:a)<\/td><td>rc.hl<\/td><td>tc:e<\/td><td>(tc:e &#8211; tc:a)<\/td><\/tr><tr><td>6<\/td><td>20<\/td><td>2.7<\/td><td>-0.3<\/td><td>12<\/td><td>2.0<\/td><td>-1.0<\/td><\/tr><tr><td>5<\/td><td><\/td><td>2.8<\/td><td>-0.2<\/td><td><\/td><td>2.4<\/td><td>-0.6<\/td><\/tr><tr><td>4<\/td><td><\/td><td>3.0<\/td><td>0.0<\/td><td><\/td><td>3.0<\/td><td>0.0<\/td><\/tr><tr><td>3<\/td><td><\/td><td>3.3<\/td><td>0.3<\/td><td><\/td><td>4.0<\/td><td>1.0<\/td><\/tr><tr><td>2<\/td><td><\/td><td>4.0<\/td><td>1.0<\/td><td><\/td><td>6.0<\/td><td>3.0<\/td><\/tr><\/tbody><\/table><\/figure>\n<a 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