A spinmer the the ome shown is used in a game Determine the probability of each intains 8 orange, 20 purple, 9 pink, and 3 brown slips of paper. A slip of paper is

Let the number of orange slips be \( O = 8 \), purple slips be \( P = 20 \), pink slips be \( K = 9 \), and brown slips be \( B = 3 \). 1. **Calculate the total number of slips.** \[ T = O + P + K + B = 8 + 20 + 9 + 3 = 40 \] 2. **Determine the probability of drawing an orange slip.** \[ \text{Probability (orange)} = \frac{O}{T} = \frac{8}{40} = \frac{1}{5} \] 3. **Determine the probability of drawing a purple slip.** \[ \text{Probability (purple)} = \frac{P}{T} = \frac{20}{40} = \frac{1}{2} \] 4. **Determine the probability of drawing a pink slip.** \[ \text{Probability (pink)} = \frac{K}{T} = \frac{9}{40} \] 5. **Determine the probability of drawing a brown slip.** \[ \text{Probability (brown)} = \frac{B}{T} = \frac{3}{40} \] The probabilities are: - Orange: \( \frac{1}{5} \) - Purple: \( \frac{1}{2} \) - Pink: \( \frac{9}{40} \) - Brown: \( \frac{3}{40} \)