If you make a tree diagram and then list all of the possible outcomes for flipping a coin and rolling a 6-sided die, how many possible outcomes are there?
A) 2
B) 6
C) 12
D) 36
12
assuming the coin is either H or T, ie, 2 coucomes, and the six sided die has six outcoms... 2x6= ?
To find the number of possible outcomes when flipping a coin and rolling a 6-sided die, we need to multiply the number of outcomes for each event.
The coin flip has 2 possible outcomes: heads or tails.
The die roll has 6 possible outcomes: 1, 2, 3, 4, 5, or 6.
To find the total number of possible outcomes, we multiply the number of outcomes for each event: 2 x 6 = 12.
Therefore, the correct answer is C) 12.
To determine the number of possible outcomes when flipping a coin and rolling a 6-sided die, we can create a tree diagram.
First, consider the possible outcomes when flipping a coin. There are two possible outcomes: heads (H) and tails (T).
For each outcome of the coin flip, we can then consider the possible outcomes of rolling a 6-sided die. Since there are two outcomes for the coin flip, we will have two branches in the tree diagram.
For each branch representing heads (H) or tails (T), there are six possible outcomes when rolling the die: 1, 2, 3, 4, 5, and 6.
To count the total number of possible outcomes, we multiply the number of outcomes at each level of the tree diagram.
In this case, the number of possible outcomes is 2 (coin flip) multiplied by 6 (die roll), resulting in a total of 12 possible outcomes.
Therefore, the correct answer is C) 12.