Chapter 11 - School District #35
Chapter 11 - School District #35
Chapter 11 - School District #35
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Name: ___________________________________________________ Date: ______________<br />
Working Example 2: Calculating Probabilities Using a Tree Diagram and<br />
Multiplication<br />
Jason rolls a 4-sided die and spins the spinner.<br />
What is the probability of rolling an even number and spinning a B?<br />
Show your answer using a tree diagram and multiplication.<br />
Solution<br />
Tree Diagram:<br />
2<br />
3<br />
A<br />
C<br />
B<br />
Die<br />
Spinner<br />
Outcomes<br />
There are<br />
possible outcomes.<br />
1<br />
A<br />
B<br />
C<br />
1, A<br />
1, B<br />
1, C<br />
There are<br />
favourable<br />
outcomes (look for even numbers with Bs).<br />
2<br />
Even numbers end in<br />
0, 2, 4, 6, …<br />
P (even number and B) =<br />
favourable outcomes<br />
possible outcomes<br />
=<br />
Multiplication:<br />
favourable outcomes<br />
Die: P (even number) =<br />
Spinner: P (B) =<br />
possible outcomes<br />
favourable outcomes<br />
possible outcomes<br />
=<br />
4<br />
P(even number, B) = P(even number) × P(B)<br />
=<br />
3<br />
= ×<br />
4 3<br />
=<br />
614 MHR ● <strong>Chapter</strong> <strong>11</strong>: Probability<br />
Both methods give the same result.