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(1×4) > enter the answer in the space provided. use numbers instead of words. size type of hardwood 1×2 1×3 1×4 1×6 total oak 20 13 17 12 62 maple 14 28 9 19 70 cherry 8 17 28 25 78 total 42 58 54 56 210 sample problem p(oak) 62/210≈0.295 = 29.5%

Explanation:

Step1: Identify relevant values

The number of $1\times4$ boards is 54 and the total number of boards is 210.

Step2: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(1\times4)=\frac{54}{210}$.

Step3: Convert to percentage

$\frac{54}{210}\approx0.2571$. Multiply by 100 to get percentage: $0.2571\times 100 = 25.71\%$. Rounding to the nearest tenth of a percent gives 25.7%.

Answer:

25.7