A game consists of spinning an arrow which comes to rest pointing at one of the regions (1, 2 or 3)
. Are the outcomes 1, 2 and 3 equally likely to occur? Give reasons.
Step 1: To decide whether outcomes are equally likely, we must check if each outcome has the same chance of happening.
Step 2: In a spinner, the chance of landing on a region depends on the area of that region. Bigger area → higher chance. Smaller area → lower chance.
Step 3: Look at the figure. The regions marked 1, 2, and 3 do not have the same size. Their areas are different.
Step 4: Since the regions are unequal, the arrow does not have the same probability of stopping at each region.
Step 5: Therefore, the outcomes 1, 2, and 3 are not equally likely.