Contents
Are you wondering about the difference between independent and dependent events? In this blog post, we’ll explain the concept and give you some examples to help you better understand.
Checkout this video:
Introduction
An event is a set of outcomes of an experiment. An event is said to be dependent if its probability depends on other events. An event is said to be independent if its probability does not depend on other events.
What is an Independent Event?
In probability theory and statistics, two events are called independent if the occurrence of one does not affect the probability of the other (equivalently, does not affect the odds).
Examples of Independent Events
There are many examples of independent events. Here are some common independent events that we see in everyday life:
-Tossing a coin
-Rolling a dice
-Picking a card from a deck of cards
-Choosing a number between 1 and 10
Independent events are those which are not affected by other events. In other words, the outcome of one event does not affect the outcome of the other event. Each event is unaffected by what happens in the other event.
Probability of Independent Events
Independent events are events that are not affected by each other. This means that the probability of one event does not affect the probability of the other event. For example, the probability of flipping a coin and getting heads is ½ no matter what happened before. The same is true for flipping a coin and getting tails. The two events (heads and tails) are independent from each other.
Dependent events are events where the outcome of one event affects the outcome of another event. For example, if you flip a coin and get heads, then the probability of flipping a second coin and getting heads would be 1/2 (because there is only one side left that can be flipped). However, if you had already flipped a coin twice and gotten heads both times, then the probability of flipping a third time and getting heads would be 1/4 (because there are two sides left that can be flipped). So, in this case, the first two flips affect the probability of the third flip.
What is a Dependent Event?
A dependent event is an event that is influenced by the occurring of another event. The dependent event cannot occur without the first event occurring. An example of a dependent event would be if it rained, then the ground would be wet.
Examples of Dependent Events
Dependent events are events in which the outcome of one event affects the outcome of another event. In other words, the second event is dependent on the first event.
Here are some examples of dependent events:
-Flipping a coin twice and getting two heads
-Rolling a die twice and getting a 6 followed by a 5
-Picking two cards from a deck without replacement and getting an Ace of Spades followed by an Ace of Hearts
Independent events are events in which the outcome of one event does not affect the outcome of another event. In other words, the second event is not dependent on the first event.
Here are some examples of independent events:
-Flipping a coin twice and getting a head followed by a tail
-Rolling a die twice and getting a 6 followed by a 4
-Picking two cards from a deck without replacement and getting an Ace of Spades followed by a 2 of Hearts
Probability of Dependent Events
Dependent events are those events in which the probability of one event occurring influences the probability of another event occurring. In other words, the likelihood of Event B happening is impacted by whether or not Event A happens. For example, if you roll a dice and then roll a second dice, the probability of rolling a certain number on the second dice is dependent on what number you rolled on the first dice.
Independent events are those events in which one event has no impact whatsoever on the probability of another event occurring. The probability of each event is not affected by whether or not the other event occurs. Returning to our dice example, if you were to roll two separate dice, one after the other, then the probability of rolling a particular number on either dice is unaffected by what number was rolled on the first dice.
Conclusion
To sum things up, independent events are those that are not affected by each other, while dependent events are those that are affected by each other.
