Examine the data from a survey of farmers about their different soil types and 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? Round your answer to the nearest tenth.

(1 point)
Responses

45.5%
45.5%

100.0%
100.0%

83.3%
83.3%

40.0%

1 answer

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to look at the relative frequencies between farmers who prefer to grow carrots and those with rocky soil.

Out of the farmers surveyed, 45.5% prefer to grow carrots and 83.3% have rocky soil. To find the percentage chance, we need to multiply the relative frequencies:

0.455 * 0.833 = 0.378815

Therefore, there is approximately a 37.9% chance that if a farmer prefers to grow carrots, they have rocky soil. Rounded to the nearest tenth, this would be 37.9%.
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