Arthur designed three spinners. Each spinner has sections of the same size. The list below shows the numbers, the colors, and the pictures on the sections of each spinner.

Numbers on Spinner X: 1, 2, 3, 4, 5, 6, 7, 8, 9

Colors on Spinner Y: Red (R), Yellow (Y), Green (G)

Pictures on Spinner Z: Bird, Fish

If Arthur spins all three spinners once, which tree diagram shows all possible combinations of the arrow of each spinner landing on a number that is a multiple of 3, on a color that is Red (R) or Green (G), and on a picture that is a bird?

Question

Arthur designed three spinners. Each spinner has sections of the same size. The list below shows the numbers, the colors, and the pictures on the sections of each spinner.

Numbers on Spinner X: 1, 2, 3, 4, 5, 6, 7, 8, 9

Colors on Spinner Y: Red (R), Yellow (Y), Green (G)

Pictures on Spinner Z: Bird, Fish

If Arthur spins all three spinners once, which tree diagram shows all possible combinations of the arrow of each spinner landing on a number that is a multiple of 3, on a color that is Red (R) or Green (G), and on a picture that is a bird?

parthkohli · Answer

Multiply the probabilities of all three.