in volleyball, you can volley, set, or spike.how many ways can your team make two plays? use tree diagram. thanks
Draw three "branches" for the first play, then three branches from each of them for the second "play" for a total of nine. However, two consecutive spikes without a set is not likely to happen. Nor are two consecutive sets. It all depends upon what you call a "play", and whether they involve consecutive hits.
This seems to me a confusing way to teach statistics or math.
Two consecutive sets are indeed possible. I seem to have have forgotten the rules of volleyball. Anyway, I think the answer they expect is 9
thank you
To calculate the number of ways a team can make two plays in volleyball, we can use a tree diagram.
First, draw three branches representing the three possible actions for the first play: volley, set, and spike.
From each branch, draw three additional branches representing the three possible actions for the second play: volley, set, and spike.
You will end up with a total of nine branches at the second level.
It is important to note that some combinations may not be logical or allowed in a game of volleyball. For example, having two consecutive spikes without a set is unlikely to happen in a typical game. However, if we assume that any combination is possible, then the total number of ways the team can make two plays is indeed nine.
Here is a visual representation of the tree diagram:
First Play Second Play
/ | \
Volley / | \ Volley
/ | \
Volley Volley Volley
/ | \
Set / | \ Set
/ | \
Volley Volley Volley
/ | \
Spike / | \ Spike
/ | \
Volley Volley Volley
So, the team can make two plays in nine different ways according to the tree diagram.