Dependent Events
(KS3, Year 7)

homesitemapprobabilitydependent events
An event is dependent if its probability is affected by whether or not another event has occured.

A Real Example of a Dependent Event

It is easier to understand a dependent event with an example.

Picking Cards

If a card is picked from a pack, 1 card is picked from a deck of 52 cards. The probability is 152. card_from_deck If the card that has been picked is not put back into the deck, there will be 1 less card in the deck. If a 2nd card is picked from the deck, 1 card is picked from a deck of 51 cards. The probability is 151.

second card from deck Picking cards without replacement are dependent events.

Lesson Slides

Picking coloured marbles from a bag, without replacing them, gives another example of dependent events. The slider below shows how the probabilities of picking a certain colored marble changes depending on whether that color has been picked before.

Top Tip

An Event Is Dependent If the Probability Changes When It Is Repeated

Probability depends on the number of ways an outcome can occur and how many outcomes there are for an event. For example, when tossing a coin, there is always 1 way a Heads can come up and 2 outcomes (Heads and Tails). These don't change no matter how many times a coin is tossed. Now consider picking the Ace of Spades from a pack of cards, without replacing it. In the 1st pick, there are 52 possible outcomes (one for each card). In the 2nd pick, one card has been removed... the number of possible outcomes has changed... the probability has changed... the event is dependent.
author logo

This page was written by Stephen Clarke.

You might also like...

Help Us Improve Mathematics Monster

  • Do you disagree with something on this page?
  • Did you spot a typo?
Please tell us using this form.

Find Us Quicker!

  • When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.

Share This Page

share icon

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, please tell us. It helps us a lot!

Create a QR Code

create QR code

Use our handy widget to create a QR code for this page...or any page.