Page 429 - Math Smart - 7

ii) This Is not a mutually exclusive outcome Any number that is rolled
will be greater than 0 and less than 6.

j

State whether each of the following pairs of events is mutually exclusive or not.

a) Losing a football match and winning the same football match
b) Catching the bus and missing the bus
c) Being asleep and being awake
d) Randomly choosing an object from this bag that is:
i) round and blue ii) round and red iii) square and blue iv) blue and red

An 8-sided die shows the 18.2.3 Probability tree diagrams
numbers 1 to 8.

June wants to compare the probability of a 6-sided die landing on 5 to the
probability of an 8-sided die landing on 5 when each die is rolled once.
She uses probability tree diagrams to show the possible outcomes.

The probability of each branch The outcome is written at
probability outcomes
is written on the branch. the end of the branch.

probability outcomes

1

8-sided die
6-sided die

Each number has an
equally likely chance of
being rolled.

There are 6 possible outcomes. The sum There are 8 possible outcomes. The sum
of the probabilities of all the possible of the probabilities of all the possible
outcomes must add up to 1. outcomes must add up to 1.
1 1 1 1 1 1 1 1 1 1 . 1
i
6 + 6 + 6 + 6 + ^=1 8 + S"*" 8 + 8 + 8 + 8 + 8 s =

All the possible outcomes of an event form the sample space.

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