{"id":123358,"date":"2022-09-17T11:17:30","date_gmt":"2022-09-17T18:17:30","guid":{"rendered":"https:\/\/www.lasvegasadvisor.com\/gambling-with-an-edge\/?page_id=123358"},"modified":"2024-01-25T13:04:34","modified_gmt":"2024-01-25T21:04:34","slug":"red-7-vs-hi-lo","status":"publish","type":"post","link":"https:\/\/www.lasvegasadvisor.com\/blog\/red-7-vs-hi-lo\/","title":{"rendered":"Red 7 vs Hi-Lo"},"content":{"rendered":"\n
Six Deck Unbalanced Red 7 Running Count Conversion to Equivalent Hi-Lo Balanced True Count and Sensitivity of True Count to Errors in Estimating Decks Remaining<\/h5>\n\n\n\n

by Conrad Membrino
(From\u00a0Blackjack Forum<\/em>\u00a0Vol. XVII #4, Winter 1997)
\u00a9 Blackjack Forum 1997<\/strong><\/p>\n\n\n\n

rc.u = 23456p + (7p\/2) – TAp<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Red-7 is almost equivalent to hi-lo count + counting all the sevens as (1\/2) each.
rc.u = unbalanced running count = 23456+ (7p\/2) – TAp
tc.b = balanced true count
n = number of decks
dp = decks played
dr = decks remaining
rc.u(tc.b) = unbalanced running count corresponding to a balance true count of tc.b
rc.hl = hi=lo running count = 23456p – TAp
rc.u = hi-lo + (7p)\/2
if hi-lo has a true count of “t” then rc.hl = t*dr and

rc.u = rc.hl + ExpVal(7p)\/2 = t*dr + 2*dp = (t+2-2)*dr + 2*dp = (t-2)*dr + 2*n<\/strong><\/p>\n\n\n\n

rc.u = 2*n + (tc.b – 2) * dr<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Number of Decks = 6<\/p>\n\n\n\n

Red-7 Running Counts Corresponding to Various True Counts for a Six Deck Game<\/strong><\/p>\n\n\n\n

Six Deck Game<\/td>rc.unbal<\/td><\/tr>
rc.unbal = 23456 + (7p\/2) – TAp<\/td>decks played<\/td><\/tr>
tc.bal<\/td>rc.unbal<\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
0<\/td>12 – 2*dr<\/td>2<\/td>4<\/td>6<\/td>8<\/td>10<\/td><\/tr>
1<\/td>12 – dr<\/td>7<\/td>8<\/td>9<\/td>10<\/td>11<\/td><\/tr>
2<\/td>12<\/td>12<\/td>12<\/td>12<\/td>12<\/td>12<\/td><\/tr>
3<\/td>12 + dr<\/td>17<\/td>16<\/td>15<\/td>14<\/td>13<\/td><\/tr>
4<\/td>12 + 2*dr<\/td>22<\/td>20<\/td>18<\/td>16<\/td>14<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Sensitivity of True Count to Errors in Estimating Decks Remaining<\/strong><\/p>\n\n\n\n

Estimation of True Count Using the Red 7:<\/u><\/strong><\/p>\n\n\n\n

rc.r7 = red 7 running count<\/td>n = number of decks<\/td><\/tr>
tc = true count<\/td>dr = decks remaining<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
rc.r7 = 2*n + (tc – 2) * dr<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Number of Decks = 8<\/p>\n\n\n\n

Red-7 Running Counts Corresponding to Various
True Counts for an Eight Deck Game<\/strong><\/p>\n\n\n\n

Eight Deck Game<\/td>rc.r7<\/td><\/tr>
rc.r7 = 23456 + (7p\/2) – TAp<\/td>decks played<\/td><\/tr>
tc<\/td>rc.r7<\/td>3<\/td>4<\/td>5<\/td>6<\/td>7<\/td><\/tr>
2<\/td>16<\/td>16<\/td>16<\/td>16<\/td>16<\/td>16<\/td><\/tr>
3<\/td>16 + dr<\/td>21<\/td>20<\/td>19<\/td>18<\/td>17<\/td><\/tr>
4<\/td>16 + 2*dr<\/td>26<\/td>24<\/td>22<\/td>20<\/td>18<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Estimation of true count with the Red 7
in an Eight Deck Game:<\/u><\/strong><\/p>\n\n\n\n

  1. Estimate decks remaining<\/li>
  2. Compare Red 7 running count with 16, 16 + dr, or 16 + 2*dr for true counts of 2, 3, or 4<\/li>
  3. Use calculated true count with High-Low strategy indices.*<\/li><\/ol>\n\n\n\n

    (*Ed. Note: Membrino is suggesting here that you may use this true count method not only to estimate your advantage, but also to alter your strategy with all Hi-Lo strategy indices. This is not the way I have developed the Red 7 in the new Blackbelt, but if you used a Starting Count of 0, then you could use this true count methology with any standard set of Hi-Lo count-per-deck indices. –Arnold Snyder)<\/p>\n\n\n\n

    Sensitivity of True Count to Errors
    in Estimating Decks Remaining:<\/u><\/strong><\/p>\n\n\n\n

    1. The closer to the pivot point, the less sensitive the true count is to errors in estimating the decks remaining.<\/li>
    2. At the pivot point, the true count is independent of the decks remaining<\/li>
    3. Pivot Point of the Red 7: True Count = 2<\/li>
    4. Pivot Point of Hi-Lo: True Count = 0<\/li>
    5. At True Counts \u2265 2:
      (a) Red 7 is closer to its pivot point (tc=2) than the Hi-Lo is to its pivot point (tc=0)
      (b) Red 7 is less sensitive to errors in estimating decks remaining when calculating true count.
      (c) Red 7 gives more accurate true counts than Hi-Lo.<\/li><\/ol>\n\n\n\n

      Example:<\/p>\n\n\n\n

      A = Actual<\/td>E = Estimated<\/td><\/tr>
      dr:a = actual dr<\/td>dr:e = estimated dr<\/td><\/tr>
      tc:a = actual tc<\/td>tc:e = estimated tc<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      Eight Decks<\/p>\n\n\n\n

      r7 = red 7<\/td>hl = hi-lo<\/td><\/tr>
      tc.r7 = 2 + (rc.r7 – 16)\/dr<\/td>tc.hl = rc.hl\/dr<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      Eight Decks
      dr:a = 4 and tc:a = 3<\/u><\/strong><\/p>\n\n\n\n

       <\/td> <\/td>Red 7<\/td> <\/td> <\/td>Hi-Lo<\/td> <\/td><\/tr>
       <\/td> <\/td>estimated<\/td>error<\/td> <\/td>estimated<\/td>error<\/td><\/tr>
      dr:e<\/td>rc.r7<\/td>tc:e<\/td>(tc:e – tc:a)<\/td>rc.hl<\/td>tc:e<\/td>(tc:e – tc:a)<\/td><\/tr>
      6<\/td>20<\/td>2.7<\/td>-0.3<\/td>12<\/td>2.0<\/td>-1.0<\/td><\/tr>
      5<\/td> <\/td>2.8<\/td>-0.2<\/td> <\/td>2.4<\/td>-0.6<\/td><\/tr>
      4<\/td> <\/td>3.0<\/td>0.0<\/td> <\/td>3.0<\/td>0.0<\/td><\/tr>
      3<\/td> <\/td>3.3<\/td>0.3<\/td> <\/td>4.0<\/td>1.0<\/td><\/tr>
      2<\/td> <\/td>4.0<\/td>1.0<\/td> <\/td>6.0<\/td>3.0<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

      Six Deck Unbalanced Red 7 Running Count Conversion to Equivalent Hi-Lo Balanced True Count and Sensitivity of True Count to Errors in Estimating Decks Remaining by Conrad Membrino(From\u00a0Blackjack Forum\u00a0Vol. XVII #4, Winter 1997)\u00a9 Blackjack Forum 1997 rc.u = 23456p + (7p\/2) – TAp Red-7 is almost equivalent to hi-lo count + counting all the sevens […]<\/p>\n","protected":false},"author":55,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[631,1],"tags":[],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/posts\/123358"}],"collection":[{"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/users\/55"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/comments?post=123358"}],"version-history":[{"count":0,"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/posts\/123358\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/media?parent=123358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/categories?post=123358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lasvegasadvisor.com\/shop\/wp-json\/wp\/v2\/tags?post=123358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}