The frequency of an outcome from an experiment can be used to produce an experimental probability. This is sometimes referred to as relative frequency.

A trial or experiment is fair if each outcome has an equal chance of happening. Each outcome is said to be equally likely.

If there is bias, in a trial or experiment, the outcomes are not equally likely.

Experimental probability

Maths

Checking and securing displaying outcomes

Checking and securing exhaustive events

Probabilities involving algebra

Frequency trees

Checking and securing calculating probabilities from tables

Checking and securing calculating probabilities from diagrams

Experimental vs theoretical probability

Set notation

Conditional probability in a two-way table

Conditional probability in a Venn diagram

Conditional probability in a tree diagram

Algebra in tree and Venn diagrams

Constructing three event Venn diagrams

Probabilities in three event Venn diagrams

Comparing multiple representations to calculate conditional probabilities

Combinations

Advanced problem solving with conditional probability

In this unit, pupils use their knowledge of calculating theoretical probabilities and extend this understanding to calculating conditional probabilities using all of the representations encountered in the prior unit.

In this unit, pupils use their knowledge of calculating theoretical probabilities and extend it to calculate conditional probabilities.

Conditional probability

An {{}} probability can be determined by the number of times an event occurred during multiple trials.

A toy brick that is dropped could land in one of four possible ways. Sofia drops the toy brick multiple times. Starting with the least likely outcome, place the outcomes in order of likelihood.

A toy brick that is dropped could land in one of four possible ways. Sofia drops the toy brick multiple times. How can Sofia improve her experiment to make it more accurate?

A dropped cone could land in one of two ways. The bar chart shows the results from an experiment. Which calculation shows how to find the experimental probability of the cone landing base down?

A dropped cone could land in one of two ways. The bar chart shows the results from an experiment. In an experiment with 200 trials you should expect the cone to land base down {{ }} times.

Two or more events are are mutually __________ if they share no common outcome.

A survey asked people whether they lived in Oakfield or not, and if they last shopped by online delivery or by going in-store. A random person is selected. Match each event to its probability.

A swimming club has 80 members. There are 8 members who swim both front crawl (FC) and butterfly (BF). The value of $$x$$ is {{}}.

This probability tree shows the probability of one of two events occurring.
The value of $$x$$ is {{}}.

Lucas and Izzy each play one game of squash that they can either win or lose. P(Lucas wins) = 0.6, P(Izzy wins) = 0.7. Use the probability tree to find the probability that they both win their game.

Lucas and Izzy each play one game of squash that they can either win or lose. P(Lucas wins) = 0.6, P(Izzy wins) = 0.7. The probability that at least one of them wins their match is {{}}.

This lesson was made for home learning during the pandemic.

Experimental probability

Lesson outcome

This lesson was made for home learning during the pandemic.