Question

this arrow is spun once. choose all of the true statements. the 3 colour outcomes are not all equally likely. the probability it lands on red is 20%. the probability it lands on blue is 33%. the probability it lands on green is 40%.

Explanation:

Step1: Count total equal segments

Total segments = 5

Step2: Assign segment probabilities

Each segment probability: $\frac{1}{5} = 20\%$

Step3: Calculate red probability

Red segments = 1. Probability: $1 \times 20\% = 20\%$

Step4: Calculate blue probability

Blue segments = 2. Probability: $2 \times 20\% = 40\%$

Step5: Calculate green probability

Green segments = 2. Probability: $2 \times 20\% = 40\%$

Step6: Verify equal likelihood

Red (20%) ≠ Blue (40%) ≠ Green (40%), so outcomes are not equally likely.

Step7: Evaluate each statement

• Statement 1: True (unequal probabilities)
• Statement 2: True (red = 20%)
• Statement 3: False (blue = 40% ≠ 33%)
• Statement 4: True (green = 40%)

Answer:

1. The 3 colour outcomes are not all equally likely.
2. The probability it lands on red is 20%.
3. The probability it lands on green is 40%.