Question

Anna rolls a die and then flips a coin. Identify the tree diagram which displays the outcomes correctly.

Answer 1

Let:

1 = Get a 1

2 = Get a 2

3 = Get a 3

4 = Get a 4

5 = Get a 5

6 = Get a 6

H = Get heads

T = Get tails

The set of all possible outcomes of the experiment is:

$\begin{gathered} S=\mleft\lbrace(1,H\mright),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),\ldots \\ \ldots(5,H),(5,T),(6,H),(6,T)\} \end{gathered}$

Therefore, the only tree diagram which displays the outcomes correctly is the one in the option A.