Question

the two - way frequency table shows the current inventory of hardwood that a lumberyard carries. suppose a customer randomly selects a board from the lumberyards inventory. use the table to calculate each probability. round to the nearest tenth of a percent if necessary. p(maple or cherry) > enter the answer in the space provided. use numbers instead of words. size 1×2 1×3 1×4 1×6 total oak 20 13 17 12 62 type of maple 14 28 9 19 70 hardwood cherry 8 17 28 25 78 total 42 58 54 56 210 sample problem p(oak) 62/210≈0.295 = 29.5%

Explanation:

Step1: Find number of maple and cherry boards

Number of maple boards is 70, number of cherry boards is 78.

Step2: Calculate total number of favorable outcomes

Total number of maple or cherry boards is $70 + 78=148$.

Step3: Calculate total number of boards

Total number of boards in inventory is 210.

Step4: Calculate probability

Probability $P=\frac{148}{210}\approx 0.705$.

Step5: Convert to percentage

$0.705\times100 = 70.5\%$

Answer:

$70.5$