5.3 mutually exclusive & independent events, 5.4 tree diagrams

When are events mutually exclusive?

When events have no outcome in common

What do mutually exclusive events look like on a Venn diagram?

The closed curves do not overlap

How do you work out combined probabilities for mutually exclusive events?

When are events independent?

When one events has no effect on another

Thus if A and B are independent, the probability of A happening is the same whether or not B happens

What is the equation for independent events?

Example 5

Example 6

Example 7

What is a tree diagram used to show?

a tree diagram can be used to show the outcomes of two (or more) events happening in succession

Example 8