What is it called when one event follows another?

What are Dependent Events?

For events to be considered dependent, one must have an influence over how probable another is. In other words, a dependent event can only occur if another event occurs first.

While this is a mathematic/statistical term, speaking specifically to the subject of probabilities, the same is true of dependent events as they occur in the real world.

For example, say you’d like to go on vacation at the end of next month, but that depends on having enough money to cover the trip. You may be counting on a bonus, a commission, or an advance on your paycheck. It also most likely depends on you being given the last week of the month off to make the trip.

The primary focus when analyzing dependent events is probability. The occurrence of one event exerts an effect on the probability of another event. Consider the following examples:

  1. Getting into a traffic accident is dependent upon driving or riding in a vehicle.
  2. If you park your vehicle illegally, you’re more likely to get a parking ticket.
  3. You must buy a lottery ticket to have a chance at winning; your odds of winning are increased if you buy more than one ticket.
  4. Committing a serious crime – such as breaking into someone’s home – increases your odds of getting caught and going to jail.

What are Independent Events?

An event is deemed independent when it isn’t connected to another event, or its probability of happening, or conversely, of not happening. This is true of events in terms of probability, as well as in real life, which, as mentioned above, is true of dependent events as well.

For example, the color of your hair has absolutely no effect on where you work. The two events of “having black hair” and “working in Allentown” are completely independent of one another.

Independent events don’t influence one another or have any effect on how probable another event is.

Other examples of pairs of independent events include:

  1. Taking an Uber ride and getting a free meal at your favorite restaurant
  2. Winning a card game and running out of bread
  3. Finding a dollar on the street and buying a lottery ticket; finding a dollar isn’t dictated by buying a lottery ticket, nor does buying the ticket increase your chances of finding a dollar
  4. Growing the perfect tomato and owning a cat

Additional Resources

Thank you for reading CFI’s guide to Dependent Events vs Independent Events. To keep learning and developing your knowledge of financial analysis, we highly recommend the additional CFI resources below:

  • Correlation
  • Game Theory
  • Quantitative Analysis
  • Total Probability Rule

This shows grade level based on the word's complexity.

/ ˈsi kwəns /

the following of one thing after another; succession.

order of succession: a list of books in alphabetical sequence.

a continuous or connected series: a sonnet sequence.

something that follows; a subsequent event; result; consequence.

Music. a melodic or harmonic pattern repeated three or more times at different pitches with or without modulation.

Liturgy. a hymn sometimes sung after the gradual and before the gospel; prose.

Movies. a series of related scenes or shots, as those taking place in one locale or at one time, that make up one episode of the film narrative.

Cards. a series of three or more cards following one another in order of value, especially of the same suit.

Genetics. the linear order of monomers in a polymer, as nucleotides in DNA or amino acids in a protein.

Mathematics. a set whose elements have an order similar to that of the positive integers; a map from the positive integers to a given set.

verb (used with object), se·quenced, se·quenc·ing.

Biochemistry. to determine the order of (chemical units in a polymer chain), especially nucleotides in DNA or RNA or amino acids in a protein.

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First recorded in 1350–1400; Middle English, from Late Latin sequentia, equivalent to sequ- (stem of sequī “to follow”) + -entia noun suffix; see -ence

The original meaning of sequence in Middle English was “a hymn sung after the gradual and before the gospel during Mass.” The Middle English noun comes from Old French sequence, whose original sense, dating from the second half of the 12th century, was the same as in Middle English. Old French sequence comes from Medieval Latin sequentia, with the same original meaning.
Sequentia is a feminine noun formed from sequēns (inflectional stem sequent- ), the present participle of the verb sequī “to follow,” and the noun suffix -ia . A sequentia was so called because it followed the Alleluia (a liturgical chant in which the word Alleluia (Hallelujah) is combined with scriptural verses, usually from the Psalms).
The usual, typical sense of sequence, “the succession of one thing after another,” first appears in 1575.

un·der·se·quence, nounun·se·quenced, adjective

seqq., sequacious, sequel, sequela, sequelize, sequence, sequence ladder, sequence of tenses, sequencer, sequencing, sequent

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

arrangement, array, progression, string, chain, classification, concatenation, continuance, continuity, continuousness, course, cycle, disposition, distribution, flow, graduation, grouping, ordering, perpetuity, placement

  • Then the embryo takes over and a strict sequence of embryonic genes kicks in, setting up more features.

  • And with the dance sequence, we wanted something very physical.

  • So too with a vaccine that provokes a specific immune response aimed at a specific RNA sequence.

  • The studio seemed to be satisfied with the results—although still opted to censor the death sequence in many foreign territories.

  • Movie buffs have commented endlessly on the bell-tower sequence in Vertigo.

  • The central thrust of the sequence derives from historical fact.

  • First I had better fix the sequence of the munition cables, for upon them the whole attack has hung—or rather, hung fire.

    Gallipoli Diary, Volume I|Ian Hamilton

  • Naturally and without the least effort the aptest words sprang to his lips in perfect order and sequence.

    Fifty Years of Railway Life in England, Scotland and Ireland|Joseph Tatlow

  • But here it is arranged in temporal sequence, thus giving us a concrete view of the man and his relation to this society.

  • Five years of warfare and its sequence—the bandit community—had devastated the provinces.

    The Philippine Islands|John Foreman

  • And still the grizzled old skipper would go on, though it was touch-and-go every time a sequence of strong seas came howling down.

    The Chequers|James Runciman

an arrangement of two or more things in a successive order

the successive order of two or more thingschronological sequence

a sequentially ordered set of related things or ideas

an action or event that follows another or others

  1. cards a set of three or more consecutive cards, usually of the same suit
  2. bridge a set of two or more consecutive cards

music an arrangement of notes or chords repeated several times at different pitches

maths

  1. an ordered set of numbers or other mathematical entities in one-to-one correspondence with the integers 1 to n
  2. an ordered infinite set of mathematical entities in one-to-one correspondence with the natural numbers

a section of a film constituting a single continuous uninterrupted episode

biochem the unique order of amino acids in the polypeptide chain of a protein or of nucleotides in the polynucleotide chain of DNA or RNA

RC Church another word for prose (def. 4)

biochem to determine the order of the units comprising (a protein, nucleic acid, genome, etc)

C14: from Medieval Latin sequentia that which follows, from Latin sequī to follow

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

A following of one thing after another; succession.

An order of succession; an arrangement.

A related or continuous series.

The order of constituents in a polymer, especially the order of nucleotides in a nucleic acid or of the amino acids in a protein.

To organize or arrange in a sequence.

To determine the order of constituents in a polymer, such as a nucleic acid.

The American Heritage® Stedman's Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

A set of quantities ordered in the same manner as the positive integers, in which there is always the same relation between each quantity and the one succeeding it. A sequence can be finite, such as {1, 3, 5, 7, 9}, or it can be infinite, such as {1, 12, 13, 14, … 1n}. Also called progression

The order of subunits that make up a polymer, especially the order of nucleotides in a nucleic acid or of the amino acids in a protein.

To determine the order of subunits of a polymer.

The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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