Question

You and your friends have organized a 2 day event called The SummerSplash Party! You flip a coin each day to randomly decide whether you willhave play Water Tag (W) or Duck Duck Splash (D).Let's fill out a tree diagram to see all of the possible outcomes.

Answer 1

Check below, please.

1) Let's fill in our Possibility Tree Diagram considering that the text tells us that each day you flip a coin. Since there are two possibilities either W or T we can start out this way:

2) Day 1 Day 2

So our tree is already filled let's now enlist all the possible outcomes

3)

`DD,DW,WD,WW`

Each letter for one day.

4) Now let's check what is the probability of playing Water tag on both days:

`\begin{gathered} First\:Day:\:(1)/(2) \\ Second\:Day:(1)/(2) \\ On\:Both\:Days:(1)/(2)*(1)/(2)=(1)/(4) \end{gathered}`

Thus this is the answer.