the two - way frequency table shows the current inventory of hardwood that a lumberyard carries. suppose a…

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.\ntype of hardwood\n| size | cherry | maple | oak | total |\n| ---- | ---- | ---- | ---- | ---- |\n| 1×2 | 8 | 14 | 20 | 42 |\n| 1×3 | 17 | 28 | 13 | 58 |\n| 1×4 | 28 | 9 | 17 | 54 |\n| 1×6 | 25 | 19 | 12 | 56 |\n| total | 78 | 70 | 62 | 210 |\np(1×2)\n> enter the answer in the space provided. use numbers instead of words.\np(oak)\n21062≈0.295 = 29.5%

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.\ntype of hardwood\n| size | cherry | maple | oak | total |\n| ---- | ---- | ---- | ---- | ---- |\n| 1×2 | 8 | 14 | 20 | 42 |\n| 1×3 | 17 | 28 | 13 | 58 |\n| 1×4 | 28 | 9 | 17 | 54 |\n| 1×6 | 25 | 19 | 12 | 56 |\n| total | 78 | 70 | 62 | 210 |\np(1×2)\n> enter the answer in the space provided. use numbers instead of words.\np(oak)\n21062≈0.295 = 29.5%

Answer

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:

$20$