Use the table to answer the question.

Question

This table shows the number of seedlings for each plant type (A, B, C, D, and E).
Plant Types A B C D E
Number of Seedlings 100 140 80 60 40
A farmer conducted an inventory on his two square kilometers of rainforest; the results are in the table. He plans on randomly selecting a seedling to experiment on when he goes back to the forest. What is the probability that he will randomly pick a type B
plant? Write your answer in the simplest form of a fraction.

(1 point)
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Answer 1

To find the probability of randomly selecting a type B plant, we need to divide the number of type B seedlings by the total number of seedlings.

From the table, we have:

• Number of type B seedlings = 140
• Total number of seedlings = 100 + 140 + 80 + 60 + 40 = 420

Now, we can calculate the probability:

\[ P(\text{Type B}) = \frac{\text{Number of Type B Seedlings}}{\text{Total Number of Seedlings}} = \frac{140}{420} \]

Now, we simplify the fraction:

\[ \frac{140 \div 140}{420 \div 140} = \frac{1}{3} \]

Thus, the probability that the farmer will randomly pick a type B plant is

\[ \frac{1}{3}. \]