Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?
Responses
A 8
B 4
C 6
D 10
E 2
A: 8
ughhhhhhhhhhhhh i fink is c
Let's check the possible outcomes using the tree diagram:
<img src="https://i.imgur.com/69eZLZL.png" width="300">
As we can see, there are 2 branches for the first flip (H or T), 2 branches for the second flip (H or T), and 2 branches for the third flip (H or T). Therefore, the total number of possible outcomes is:
2 x 2 x 2 = 8
So the correct answer is indeed A: 8.
To find out how many possible outcomes exist when Caroline flips a coin 3 times, we can use a tree diagram.
A tree diagram is a visual representation of all the possible outcomes of an event, tracing the different branches for each possible option.
In this case, since Caroline is flipping a coin 3 times, we would start with one branch representing the first flip, which can either be heads (H) or tails (T).
From there, we would have two branches for the second flip, which can also be either heads or tails.
Finally, we would have two branches for the third flip, again representing heads or tails.
To find the total number of outcomes, we simply count the number of endpoints in the tree diagram.
By following this process, we can see that the tree diagram for flipping a coin 3 times has 8 endpoints, which means there are 8 possible outcomes.
Therefore, the correct answer is A) 8.