Answer: To create a tree diagram for selecting 2 balls from the bag containing yellow, blue, and pink balls, we can follow these steps
Step-by-step explanation: 1. First Level of the Tree Diagram: - The first ball can be of three types: yellow, blue, or pink. - Calculate the probabilities of picking each type of ball: - Yellow ball: - Blue ball: - Pink ball:
2. Second Level of the Tree Diagram: - For each type of ball selected in the first step, there will be further branches based on the second ball chosen. - Calculate the probabilities of picking each numbered ball based on the type of the first ball chosen: - If a yellow ball was chosen first: - Second yellow ball: - Blue ball: - Pink ball: - If a blue ball was chosen first: - Yellow ball: - Second blue ball: - Pink ball: - If a pink ball was chosen first: - Yellow ball: - Blue ball: - Second pink ball
3. Combining Probabilities: - Multiply the probabilities along the branches to get the total probability for each outcome of picking 2 balls. - The total outcomes can be calculated by summing up the probabilities of each successful path in the tree diagram.
4. Drawing the Tree Diagram: - Create branches representing each type of ball in the first level. - Add further branches for the second ball based on the type chosen in the first step. - Assign probabilities to each branch accordingly.
By following these steps, you can accurately draw a tree diagram to represent the total outcomes for selecting 2 balls from the bag with yellow, blue, and pink balls.
Hoped this helped!
