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.
type of hardwood

size	cherry	maple	oak	total
1×3	17	28	13	58
1×4	28	9	17	54
1×6	25	19	12	56
total	78	70	62	210

p(1×2)

enter the answer in the space provided. use numbers instead of words.

p(oak)
21062≈0.295 = 29.5%

Explanation:

Step1: Recall probability formula

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

Step2: Identify values for $P(1\times2)$

The number of $1\times2$ boards is $42$ (the row - total for $1\times2$). The total number of boards in inventory is $210$.

Step3: Calculate the probability

$P(1\times2)=\frac{42}{210}= 0.2$.

Step4: Convert to percentage

To convert the decimal to a percentage, multiply by $100$. So $0.2\times100 = 20\%$.

Answer:

$20$