{"id":226,"date":"2025-07-15T13:34:46","date_gmt":"2025-07-15T13:34:46","guid":{"rendered":"https:\/\/functiontranslator.com\/2021\/02\/12\/hypgeom-dist\/"},"modified":"2021-02-13T11:34:24","modified_gmt":"2021-02-13T11:34:24","slug":"hypgeom-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/en\/hypgeom-dist\/","title":{"rendered":"HYPGEOM.DIST"},"content":{"rendered":"

When working with Excel or Google Sheets, the HYPGEOM.DIST function is a valuable tool for calculating the hypergeometric distribution probability based on specific parameters. It essentially determines the likelihood of achieving a predetermined number of successes within a set number of draws from a finite population, without the option of replacement.<\/p>\n

Understanding the Syntax<\/h2>\n

The syntax for the HYPGEOM.DIST function is as follows:<\/p>\n

=HYPGEOM.DIST(sample_s, number_sample, population_s, number_population, cumulative)<\/code><\/pre>\n
    \n
  • sample_s<\/code>: The number of successful outcomes in the sample.<\/li>\n
  • number_sample<\/code>: The total number of draws (sample size).<\/li>\n
  • population_s<\/code>: The number of successful outcomes within the whole population.<\/li>\n
  • number_population<\/code>: The total number of items within the population.<\/li>\n
  • cumulative<\/code>: A logical value specifying the function mode:<\/li>\n
      \n
    • If TRUE<\/code>, HYPGEOM.DIST returns the cumulative distribution function, which represents the probability up to a certain number of successes.<\/li>\n
    • If FALSE<\/code>, HYPGEOM.DIST gives the probability mass function, or the probability of a specific number of successes.<\/li>\n<\/ul>\n<\/ul>\n
      Examples of Using the Function<\/h2>\n
      Here are practical applications of the HYPGEOM.DIST function:<\/p>\n
      Example 1: Cumulative Probability<\/h3>\n
      Suppose you want to calculate the cumulative probability of drawing 3 white balls from an urn that contains 10 balls, of which 6 are white, in a total draw of 5 balls. The formula you would use is:<\/p>\n\n\n\n
      Formula<\/th>\nResult<\/th>\n<\/tr>\n
      =HYPGEOM.DIST(3, 5, 6, 10, TRUE)<\/code><\/td>\n0.5012531328<\/td>\n<\/tr>\n<\/table>\n
      Example 2: Probability Mass Function<\/h3>\n
      Consider finding the probability of drawing exactly 2 aces from a standard deck of 52 cards in a hand of 5 cards. The appropriate formula is:<\/p>\n\n\n\n
      Formula<\/th>\nResult<\/th>\n<\/tr>\n
      =HYPGEOM.DIST(2, 5, 4, 52, FALSE)<\/code><\/td>\n0.032561149<\/td>\n<\/tr>\n<\/table>\n
      These examples demonstrate how the HYPGEOM.DIST function can be employed to resolve probability challenges related to draws from a finite population without replacement.<\/p>\n","protected":false},"excerpt":{"rendered":"
      Returns the hypergeometric distribution<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[203],"tags":[],"class_list":["post-226","post","type-post","status-publish","format-standard","hentry","category-statistical"],"acf":[],"yoast_head":"\nExcel HYPGEOM.DIST Function \u2013 How It Works, Formula Examples and Syntax<\/title>\n<meta name=\"description\" content=\"Learn what the Excel HYPGEOM.DIST function does. 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