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(oak and 1×2) > enter the answer in the space provided. use numbers instead of words. % sample problem p(oak) $\frac{62}{210}approx0.295 = 29.5%$

Explanation:

Step1: Recall probability formula

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is the number of oak boards with size $1\times2$, which is 20, and the total number of boards is 210.

Step2: Calculate the probability

$P(\text{oak and }1\times2)=\frac{20}{210}\approx 0.095$

Step3: Convert to percentage

$0.095\times100 = 9.5\%$

Answer:

$9.5$