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  • 00:00

    This is Stephanie from StatisticHowTo.com and in this video I'll show you how to tell
    This is Stephanie from StatisticHowTo.com and in this video I'll show you how to tell

  • 00:05

    whether an event is independent or whether it's dependent.
    whether an event is independent or whether it's dependent.

  • 00:11

    Independent events are things that have basically nothing to do with each other.
    Independent events are things that have basically nothing to do with each other.

  • 00:16

    An example would be driving to work and winning the lotto.
    An example would be driving to work and winning the lotto.

  • 00:22

    Your odds of winning lotto had nothing to do with driving to work and vice versa.
    Your odds of winning lotto had nothing to do with driving to work and vice versa.

  • 00:27

    Driving to work has nothing to do with winning the lotto.
    Driving to work has nothing to do with winning the lotto.

  • 00:31

    Though I guess you could argue, you won't drive to work anymore if you won the lotto.
    Though I guess you could argue, you won't drive to work anymore if you won the lotto.

  • 00:34

    A Dependent event, one event depends on the other.
    A Dependent event, one event depends on the other.

  • 00:38

    For example your odds of getting a parking ticket depends on where you park.
    For example your odds of getting a parking ticket depends on where you park.

  • 00:45

    If you park legally your odds of getting a parking ticket are practically zero.
    If you park legally your odds of getting a parking ticket are practically zero.

  • 00:49

    If you park illegally then your odds of getting a parking ticket go up and they may go up
    If you park illegally then your odds of getting a parking ticket go up and they may go up

  • 00:55

    depending on where you park illegally. Let's take a look at some basic questions you
    depending on where you park illegally. Let's take a look at some basic questions you

  • 01:00

    can ask to figure out whether your particular event is dependent or independent.
    can ask to figure out whether your particular event is dependent or independent.

  • 01:05

    The first question you want to ask is, is it possible for the events to happen in any
    The first question you want to ask is, is it possible for the events to happen in any

  • 01:10

    order? I'll show you an example of a few events.
    order? I'll show you an example of a few events.

  • 01:16

    Here's three events that can clearly happen in any order.
    Here's three events that can clearly happen in any order.

  • 01:19

    Tossing a coin and rolling a die. You could roll the die first; it does not
    Tossing a coin and rolling a die. You could roll the die first; it does not

  • 01:23

    affect the outcome of tossing a coin. Buying a car and then buying a coat.
    affect the outcome of tossing a coin. Buying a car and then buying a coat.

  • 01:29

    You can buy the coat first or you can buy the car first.
    You can buy the coat first or you can buy the car first.

  • 01:33

    And drawing cards from a deck. So if you are drawing five cards from a deck
    And drawing cards from a deck. So if you are drawing five cards from a deck

  • 01:37

    with replacement that is you put the cards back.
    with replacement that is you put the cards back.

  • 01:40

    You draw a king you put the king back; you draw an ace you put the ace back.
    You draw a king you put the king back; you draw an ace you put the ace back.

  • 01:45

    Those events could happen in any order. Events that can't happen in any order.
    Those events could happen in any order. Events that can't happen in any order.

  • 01:51

    Parking and getting a parking ticket. Well you can't get a parking ticket without
    Parking and getting a parking ticket. Well you can't get a parking ticket without

  • 01:55

    parking first. So these two events must happen in a certain
    parking first. So these two events must happen in a certain

  • 02:00

    order. Second example is surveying a group of people,
    order. Second example is surveying a group of people,

  • 02:03

    and finding out how many women are against gun rights.
    and finding out how many women are against gun rights.

  • 02:08

    We can't find out how many women are against gun rights, unless you do the survey first.
    We can't find out how many women are against gun rights, unless you do the survey first.

  • 02:13

    So these are two examples that must happen in order.
    So these are two examples that must happen in order.

  • 02:16

    If your items must happen in order then they are Dependent.
    If your items must happen in order then they are Dependent.

  • 02:22

    If the events can happen in any particular order.
    If the events can happen in any particular order.

  • 02:26

    In other words it doesn't matter what order they appear in.
    In other words it doesn't matter what order they appear in.

  • 02:29

    They might be independent they may be dependent. You have to ask yourself one more question.
    They might be independent they may be dependent. You have to ask yourself one more question.

  • 02:34

    That question is, does one event in any way affect the outcome of the other event?
    That question is, does one event in any way affect the outcome of the other event?

  • 02:42

    Notice I said up here, when you're drawing cards from a deck, as long as you put each card back you have
    Notice I said up here, when you're drawing cards from a deck, as long as you put each card back you have

  • 02:47

    1 out of 52 chance of pulling a card each time because there are 52 cards in a deck.
    1 out of 52 chance of pulling a card each time because there are 52 cards in a deck.

  • 02:54

    But let's say, you take two cards out of the deck. If you pull two cards you have 50 cards left
    But let's say, you take two cards out of the deck. If you pull two cards you have 50 cards left

  • 03:02

    and if you pull another two cards you have 48 cards left.
    and if you pull another two cards you have 48 cards left.

  • 03:07

    Your probability of choosing any card that's left is going to go up.
    Your probability of choosing any card that's left is going to go up.

  • 03:11

    the fewer cards you have, Like if you're down to 4 cards and you are choosing two, well
    the fewer cards you have, Like if you're down to 4 cards and you are choosing two, well

  • 03:18

    you've got a 50% chance of getting two cards. So if you are choosing with replacement, in
    you've got a 50% chance of getting two cards. So if you are choosing with replacement, in

  • 03:25

    other words you are putting the cards back then you have an Independent event.
    other words you are putting the cards back then you have an Independent event.

  • 03:30

    But if you don't put those cards back then you have a Dependent event.
    But if you don't put those cards back then you have a Dependent event.

  • 03:37

    This could go for bingo balls, rolling a certain number of dice.
    This could go for bingo balls, rolling a certain number of dice.

  • 03:41

    As long as you start and finish with the same number of dice.
    As long as you start and finish with the same number of dice.

  • 03:44

    And when you repeat the process you have, say, 6 dice again that is Independent.
    And when you repeat the process you have, say, 6 dice again that is Independent.

  • 03:49

    As far as purchasing a car and purchasing a coat.
    As far as purchasing a car and purchasing a coat.

  • 03:53

    Does one event in any way affect the outcome of the other event? Generally no.
    Does one event in any way affect the outcome of the other event? Generally no.

  • 03:59

    But if you were to add something to this. And the only way you can get a coat was to
    But if you were to add something to this. And the only way you can get a coat was to

  • 04:04

    drive a car and the only way you could drive a car was by purchasing it, then these will
    drive a car and the only way you could drive a car was by purchasing it, then these will

  • 04:10

    be Dependent events. But in most cases they would be independent.
    be Dependent events. But in most cases they would be independent.

  • 04:14

    So when you are deciding on dependent or independent just make sure you ask yourself these two
    So when you are deciding on dependent or independent just make sure you ask yourself these two

  • 04:18

    questions. This flow chart sums everything up if you
    questions. This flow chart sums everything up if you

  • 04:23

    trying to decide whether an event is dependent or independent.
    trying to decide whether an event is dependent or independent.

  • 04:27

    Start here, is it possible for the events to happen in any order, if the answer is no
    Start here, is it possible for the events to happen in any order, if the answer is no

  • 04:33

    it's dependent. If the answer is yes, you have to ask yourself
    it's dependent. If the answer is yes, you have to ask yourself

  • 04:37

    one more question, does one event in any way affect the outcome or the odds of the other
    one more question, does one event in any way affect the outcome or the odds of the other

  • 04:44

    event. If your answer is no it's independent.
    event. If your answer is no it's independent.

  • 04:47

    If your answer is yes its dependent. Check us out at StatisticsHowTo.com for more
    If your answer is yes its dependent. Check us out at StatisticsHowTo.com for more

  • 04:52

    examples and videos on everything Elementary Statistics.
    examples and videos on everything Elementary Statistics.

All idiom
this is
//
idiom
Used to quote, paraphrase, or mimic the words of someone else, especially in a mocking or derisive manner.

Dependent vs Independent events

28,753 views

Prof. Essa

Video Language:

  • English

Caption Language:

  • English (en)

Accent:

  • English (US)

Speech Time:

99%
  • 4:55 / 4:57

Speech Rate:

  • 168 wpm - Fast

Category:

  • Education

Tags :

Intro:

This is Stephanie from StatisticHowTo.com and in this video I'll show you how to tell
whether an event is independent or whether it's dependent.
Independent events are things that have basically nothing to do with each other.
An example would be driving to work and winning the lotto.
Your odds of winning lotto had nothing to do with driving to work and vice versa.
Driving to work has nothing to do with winning the lotto.
Though I guess you could argue, you won't drive to work anymore if you won the lotto.
A Dependent event, one event depends on the other.. For example your odds of getting a parking ticket depends on where you park.
If you park legally your odds of getting a parking ticket are practically zero.
If you park illegally then your odds of getting a parking ticket go up and they may go up
depending on where you park illegally. Let's take a look at some basic questions you
can ask to figure out whether your particular event is dependent or independent.
The first question you want to ask is, is it possible for the events to happen in any
order? I'll show you an example of a few events.. Here's three events that can clearly happen in any order.
Tossing a coin and rolling a die. You could roll the die first; it does not
affect the outcome of tossing a coin. Buying a car and then buying a coat.
You can buy the coat first or you can buy the car first.
And drawing cards from a deck. So if you are drawing five cards from a deck

Video Vocabulary

questions

/ˈkwesCH(ə)n/

noun other verb

sentence worded or expressed so as to elicit information. What you ask about; issues. To have or express concerns or uncertainty.

depends

/dəˈpend/

verb

Be controlled or determined by..

practically

/ˈpraktək(ə)lē/

adverb

Nearly, almost, or in effect.

getting

/ɡet/

verb

To (cause to) do a particular thing.

tossing

/tôs/

verb

To throw something into the air, e.g. casually.

whether

/ˈ(h)weT͟Hər/

conjunction

If something will happen or not.

drawing

/ˈdroiNG/

noun other verb

picture or diagram made with pencil, pen. To get closer to or approach something or someone. (Of 2 teams) to finish a game with the same score.

replacement

/rəˈplāsmənt/

noun

Getting a new object to use instead of an old one.

dependent

/dəˈpendənt/

adjective noun

Someone who relies on (financial) support. undefined.

example

/iɡˈzampəl/

noun verb

Thing, person which represents a category. be illustrated or exemplified.

illegally

/i(l)ˈlēɡ(ə)lē/

adverb

in way that is contrary to or forbidden by law.

basically

/ˈbāsik(ə)lē/

adverb

in most essential respects.

nothing

/ˈnəTHiNG/

adjective adverb noun pronoun

of no value. not at all. Item of little or no value, importance, interest. not anything.

anymore

/ˌenēˈmôr/

adverb

No longer; no more.

winning

/ˈwiniNG/

adjective noun verb

gaining, resulting in, or relating to victory in contest or competition. money won. To gain something you want because of your efforts.