Quantitative Reasoning Probability Assignment INSTRUCTIONS: Do ALL work on a separate sheet, and include with your submission. Copy final answers to this, with NO other markings! Answers may be in reduced fraction form or as decimal rounded to the third decimal place. SCENARIO: There are 15 pencils in a box. The characteristics provided are shown in the image and listed for clarity. 15 Pencils # 1-15 6 New 6 with worn erasers 5 with broken tips Numbers 1-7: The pencils are in thrown in a box and mixed up. You reach into the box and select a single pencil. Find the probability that: (note: each is a single selection) 1. _________ The pencil is # 10 3. _________ The pencil has a broken tip 2. _________ The pencil is new 4. _________ The pencil has a worn eraser For combining probabilities in #s 5-8, be sure to show formula and work for credit! 5. ____________ The pencil is new or has a broken tip 6. ____________ The pencil has a broken tip or a worn eraser 7. ____________ The pencil is new or even numbered or has a worn eraser You now reach into the box, select a pencil, then put the pencil back in the box before any subsequent selection. Find the probability of: (be sure to set up formulas for combining probabilities where applicable!) 8. _________ Selecting a new pencil the first selection and a pencil with a broken tip the second time 9. _________ Selecting a new pencil on each of four successive selections

You now reach into the box, select a pencil. This time the pencil is NOT put back in the box before any subsequent selection. Find the probability of: (be sure to set up formulas for combining probabilities where applicable!) 10. _________ Selecting a new pencil on the first selection and a pencil with a broken tip on the second selection 11. __________ Selecting a new pencil on each of three successive selections BONUS: Set up the formula for finding the probability and solve or provide a reason why you can't solve for. Show work on this sheet if you choose to do bonus. 12. ___________ Selecting a new pencil on the first selection, the #10 on the second selection and a pencil with a broken tip on the third selection.