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(1×3) > 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 50 210 sample problem p(oak) 62/210≈0.295 = 29.5%

Explanation:

Step1: Recall probability formula

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

Step2: Identify favorable and total outcomes

The number of $1\times3$ boards is 58 (from the table), and the total number of boards is 210.
So, $P(1\times3)=\frac{58}{210}$.

Step3: Calculate and round

$\frac{58}{210}\approx 0.276$. Converting to a percentage gives $27.6\%$.

Answer:

$27.6$