Question

a spinner is divided into eight equal regions as shown in the diagram below. which event is most likely to occur in one spin? clear all the arrow will land in a yellow or green area the arrow will land in a yellow or black area the arrow will land in a green or black area the arrow will land in a green or white area

Explanation:

Step1: Count color - regions

There are 3 yellow, 2 green, 2 white and 1 black regions.

Step2: Calculate probabilities of combined - events

Probability of yellow or green: $\frac{3 + 2}{8}=\frac{5}{8}$
Probability of yellow or black: $\frac{3+1}{8}=\frac{4}{8}$
Probability of green or black: $\frac{2 + 1}{8}=\frac{3}{8}$
Probability of green or white: $\frac{2+2}{8}=\frac{4}{8}$

Step3: Compare probabilities

Since $\frac{5}{8}>\frac{4}{8}>\frac{3}{8}$, the event of the arrow landing in a yellow or green area has the highest probability.

Answer:

The arrow will land in a yellow or green area.