"no horse in this race" meaning in English

{
  "etymology_text": "From betting on horse racing; someone who has not placed bets on any of the horses in a particular race will have no vested interest in any of them winning.",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "noun"
      },
      "expansion": "no horse in this race",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English negative polarity items",
          "parents": [
            "Negative polarity items",
            "Terms by semantic function"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "I have no horse in this race; I just want to see justice done.",
          "type": "example"
        }
      ],
      "glosses": [
        "No vested interest in the outcome of a contest or debate."
      ],
      "id": "en-no_horse_in_this_race-en-noun-hmkxYJVJ",
      "links": [
        [
          "vested interest",
          "vested interest"
        ]
      ],
      "raw_glosses": [
        "(idiomatic) No vested interest in the outcome of a contest or debate."
      ],
      "synonyms": [
        {
          "word": "no dog in this fight"
        },
        {
          "word": "no horse in that race"
        }
      ],
      "tags": [
        "idiomatic"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "En-au-no horse in this race.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/3e/En-au-no_horse_in_this_race.ogg/En-au-no_horse_in_this_race.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/3/3e/En-au-no_horse_in_this_race.ogg",
      "tags": [
        "Australia"
      ],
      "text": "Audio (AU)"
    }
  ],
  "word": "no horse in this race"
}

{
  "etymology_text": "From betting on horse racing; someone who has not placed bets on any of the horses in a particular race will have no vested interest in any of them winning.",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "noun"
      },
      "expansion": "no horse in this race",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English idioms",
        "English lemmas",
        "English multiword terms",
        "English negative polarity items",
        "English nouns",
        "English terms with audio links",
        "English terms with non-redundant non-automated sortkeys",
        "English terms with usage examples"
      ],
      "examples": [
        {
          "text": "I have no horse in this race; I just want to see justice done.",
          "type": "example"
        }
      ],
      "glosses": [
        "No vested interest in the outcome of a contest or debate."
      ],
      "links": [
        [
          "vested interest",
          "vested interest"
        ]
      ],
      "raw_glosses": [
        "(idiomatic) No vested interest in the outcome of a contest or debate."
      ],
      "tags": [
        "idiomatic"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "En-au-no horse in this race.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/3e/En-au-no_horse_in_this_race.ogg/En-au-no_horse_in_this_race.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/3/3e/En-au-no_horse_in_this_race.ogg",
      "tags": [
        "Australia"
      ],
      "text": "Audio (AU)"
    }
  ],
  "synonyms": [
    {
      "word": "no dog in this fight"
    },
    {
      "word": "no horse in that race"
    }
  ],
  "word": "no horse in this race"
}