Chapter 11 - School District #35
Chapter 11 - School District #35
Chapter 11 - School District #35
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Working Example 2: Determine the Total Number of Outcomes From<br />
Three or More Events<br />
You flip a coin, spin the spinner, and roll a 4-sided die.<br />
a) How many possible outcomes are there?<br />
CENT<br />
A<br />
B<br />
4<br />
1<br />
Solution<br />
C<br />
Method 1: Use a Tree Diagram<br />
Coin<br />
Head (H)<br />
Tail (T)<br />
Spinner<br />
A B C<br />
Die<br />
1 2 3 4<br />
Outcomes:<br />
The tree diagram shows<br />
Method 2: Use Multiplication<br />
Number of possible outcomes for<br />
possible outcomes.<br />
This row tells you the<br />
number of possible<br />
outcomes.<br />
● a coin: ● the spinner: ● a 4-sided die:<br />
Total possible outcomes<br />
= possible outcomes for coin × possible outcomes for spinner × possible outcomes for die<br />
= × ×<br />
=<br />
There are<br />
possible outcomes.<br />
b) Why would it be difficult to show the sample space for this experiment in a table?<br />
Solution<br />
You can use a table for 2 events.<br />
You can show 1 event in the columns and 1 event in the .<br />
For 3 events, you would need more than 1 table to show all of the outcomes.<br />
604 MHR ● <strong>Chapter</strong> <strong>11</strong>: Probability