Examine the data from the survey of farmers about their different soil types in the crops they prefer to grow using relative frequencies. What is the percentage chance that if a farmer prefers to grow carrots, they have rocky soil
To calculate the percentage chance that if a farmer prefers to grow carrots, they have rocky soil, we need to use the relative frequencies from the survey data.
Let's say that from the survey data, we found that 20% of farmers prefer to grow carrots and 30% of farmers have rocky soil.
From the survey data, we also found that 10% of farmers who prefer to grow carrots have rocky soil.
To calculate the percentage chance that if a farmer prefers to grow carrots, they have rocky soil, we need to divide the number of farmers who prefer to grow carrots and have rocky soil by the total number of farmers who prefer to grow carrots and then multiply by 100 to get the percentage.
Percentage chance = (Number of farmers who prefer carrots and have rocky soil / Total number of farmers who prefer carrots) x 100
Percentage chance = (10% / 20%) x 100 = 50%
Therefore, there is a 50% chance that if a farmer prefers to grow carrots, they have rocky soil based on the survey data.