Question

select the correct answer. the venn - diagram below shows the type of crops planted by 50 farmers in a particular area. total number of farmers: 25. if a farmer is chosen at random, what is the probability that the farmer planted corn or lettuce? a. $\frac{1}{2}$ b. $\frac{7}{10}$ c. $\frac{3}{10}$ d. $\frac{4}{5}$

Explanation:

Step1: Find number of farmers who planted corn or lettuce

Add the number of farmers in each non - overlapping part of the corn and lettuce regions. $5 + 10+10=25$.

Step2: Calculate probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of farmers is 50. So $P = \frac{25 + 10}{50}=\frac{35}{50}=\frac{7}{10}$.

Answer:

B. $\frac{7}{10}$