To find the probability of selecting a type B plant seedling, you first need to determine the total number of seedlings and then the number of type B seedlings.
From the table:
- Number of type A seedlings: 100
- Number of type B seedlings: 140
- Number of type C seedlings: 80
- Number of type D seedlings: 60
- Number of type E seedlings: 40
Now, let's calculate the total number of seedlings:
\[ \text{Total seedlings} = 100 + 140 + 80 + 60 + 40 = 420 \]
Now that we know there are 420 seedlings in total, we can find the probability of selecting a type B seedling. The probability \( P \) of selecting type B is given by the formula:
\[ P(\text{B}) = \frac{\text{Number of B seedlings}}{\text{Total number of seedlings}} = \frac{140}{420} \]
Next, simplify the fraction:
\[ \frac{140}{420} = \frac{1}{3} \]
Thus, the probability of randomly picking a type B plant seedling is:
\[ \boxed{\frac{1}{3}} \]