The completed table should be:
Row 1 (odd number 1): 2, 3, 5, 7
Row 2 (odd number 3): 6, 9, 15, 21
Row 3 (odd number 5): 10, 15, 25, 35
The missing prime number is 5.
This question requires us to complete a sample space diagram for a probability problem.
**Step 1: Identify the sets of numbers.**
- The first three positive odd numbers are 1, 3, 5. The table shows 1 and 5, so the missing odd number is 3.
- The first four prime numbers are 2, 3, 5, 7. (A prime number is a number greater than 1 that has only two factors: 1 and itself). The table shows 2, 3, and 7, so the missing prime number is 5.
**Step 2: Fill in the table by multiplying.**
The table shows the result of multiplying the odd number in the row by the prime number in the column.
- **Top row (multiplying by 1):** 1×2=2, 1×3=3, 1×5=5, 1×7=7.
- **Middle row (multiplying by 3):** 3×2=6, 3×3=9, 3×5=15, 3×7=21.
- **Bottom row (multiplying by 5):** 5×2=10, 5×3=15, 5×5=25, 5×7=35.
The value 15 is already given as a check.