AI generatedProbabilityKey Stage 3

Probabilities of mutually exclusive events

Probabilities of mutually exclusive events.

  • Probability = favourable outcomes ÷ all outcomes when individual outcomes are equally likely.
  • A probability lies between 0 and 1; complementary probabilities sum to 1.
  • Experimental relative frequency estimates probability and can vary between samples.

Example 1

A bag contains 2 red, 3 blue and 4 green counters. One counter is selected. Find the probability of red or blue.

The events are mutually exclusive.

Example 2

A bag contains 3 red, 3 blue and 5 green counters. One counter is selected. Find the probability of red or blue.

The events are mutually exclusive.

Your turn

Question 1

A bag contains 4 red, 3 blue and 6 green counters. One counter is selected. Find the probability of red or blue.

Check answer
The events are mutually exclusive.
Question 2

A bag contains 5 red, 3 blue and 7 green counters. One counter is selected. Find the probability of red or blue.

Check answer
The events are mutually exclusive.
Question 3

A bag contains 2 red, 4 blue and 8 green counters. One counter is selected. Find the probability of red or blue.

Check answer
The events are mutually exclusive.
Question 4

A bag contains 3 red, 4 blue and 4 green counters. One counter is selected. Find the probability of red or blue.

Check answer
The events are mutually exclusive.
Question 5

A bag contains 4 red, 4 blue and 5 green counters. One counter is selected. Find the probability of red or blue.

Check answer
The events are mutually exclusive.