1. **State the problem:** Jaylee has a box with 8 green, 10 blue, 7 yellow, 8 orange, and 7 purple magnetic tiles. (a) Find the probability of selecting a blue or orange tile. (b) Jaylee selects 9 tiles randomly and replaces them 120 times. Predict how many times she will select a blue or orange tile. 2. **Formula and rules:** Probability of an event = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}. When events are "or" (union), if they are mutually exclusive, add probabilities. 3. **Calculate total tiles:** $$ \text{Total} = 8 + 10 + 7 + 8 + 7 = 40 $$ 4. **Calculate probability of blue or orange:** $$ P(\text{blue or orange}) = P(\text{blue}) + P(\text{orange}) = \frac{10}{40} + \frac{8}{40} = \frac{18}{40} $$ 5. **Simplify the fraction:** $$ \frac{18}{40} = \frac{\cancel{2} \times 9}{\cancel{2} \times 20} = \frac{9}{20} = 0.45 $$ 6. **Prediction for 120 trials:** Expected number of times = Probability \times Number of trials $$ = 0.45 \times 120 = 54 $$ **Final answers:** (a) Probability of selecting a blue or orange tile is $\frac{9}{20}$ or 0.45. (b) Jaylee is expected to select a blue or orange tile 54 times out of 120 trials.