use a tree diagram to show all the possible combinations of 3 coins randomly selected from the bag if your…

use a tree diagram to show all the possible combinations of 3 coins randomly selected from the bag if your first coin was a quarter. drag and drop using these coins to set up your tree diagram. use the arrow line tool to draw your arrows.

use a tree diagram to show all the possible combinations of 3 coins randomly selected from the bag if your first coin was a quarter. drag and drop using these coins to set up your tree diagram. use the arrow line tool to draw your arrows.

Answer

Explanation:

Step1: First - coin is a quarter.

Let's assume there are 4 types of coins (shown in the picture). After the first - coin (quarter) is selected, for the second - coin selection, there are 4 possibilities.

Step2: For each second - coin possibility.

For each of the 4 second - coin possibilities, when selecting the third coin, there are again 4 possibilities.

Step3: Calculate total combinations.

The total number of possible combinations of the remaining 2 coins (after the first - quarter) is (4\times4 = 16). The tree - diagram would start with the quarter as the root node. Then, from the quarter node, there would be 4 branches representing the 4 possible second - coin selections. From each of these 4 second - coin nodes, there would be 4 more branches representing the 4 possible third - coin selections.

Answer:

There are 16 possible combinations of the remaining 2 coins after the first - coin is a quarter, and the tree - diagram can be drawn as described above with a root node of the quarter and subsequent branches for second and third coin selections.