Question

(a) How many outcomes are there?(b) How many outcomes involve landing on A and an odd number?(c) How many outcomes involve landing on 1 or 4?

Answer 1

Solution:

Given the tree diagram:

A) Number of outcomes:

The number of outcomes is

$10$

B) Number of outcomes involved in landing on A and an odd number:

Thus, we have

$\begin{gathered} (A,1)\text{, \lparen A,3\rparen, \lparen A,5\rparen} \\ \Rightarrow3 \end{gathered}$

C) Number of outcomes involved in landing on 1 or 4:

Thus, we have

$\begin{gathered} (A,1),\text{ \lparen A,4\rparen, \lparen B,1\rparen, \lparen B,4\rparen} \\ \Rightarrow4 \end{gathered}$