Question

homework: unit 4 - mean, median and mode, and probability
question 25, 7.4.7 part 1 of 2
draw a tree - diagram for spinning spinner a two times and then spinner b two times. use the diagram to find the number of possible outcomes.

Explanation:

Step1: Determine outcomes for Spinner A

Spinner A has 3 colors (R - red, B - blue, Y - yellow). Spinning it twice, the number of outcomes for each spin is 3. By the multiplication principle, the number of outcomes for two - spins of Spinner A is $3\times3=9$.

Step2: Determine outcomes for Spinner B

Spinner B has 4 numbers (1, 2, 3, 4). Spinning it twice, the number of outcomes for each spin is 4. By the multiplication principle, the number of outcomes for two - spins of Spinner B is $4\times4 = 16$.

Step3: Calculate total number of outcomes

Since the spins of Spinner A and Spinner B are independent events, the total number of possible outcomes is the product of the number of outcomes of Spinner A's two spins and Spinner B's two spins. So the total number of outcomes is $9\times16=144$.

Answer:

144