To determine the probability that a randomly chosen cell is undergoing cell division, we need to consider the number of cells observed in each phase of mitosis (which includes prophase, metaphase, anaphase, and telophase).
Here are the steps:
1. Identify the total number of cells observed:
Total cells = 200
2. Identify the number of cells in each phase of mitosis:
- Prophase: 20 cells
- Metaphase: 4 cells
- Anaphase: 2 cells
- Telophase: 4 cells
3. Calculate the total number of cells undergoing mitosis (cell division):
[tex]\[
\text{Number of cells undergoing cell division} = \text{Prophase cells} + \text{Metaphase cells} + \text{Anaphase cells} + \text{Telophase cells}
\][/tex]
[tex]\[
\text{Number of cells undergoing cell division} = 20 + 4 + 2 + 4 = 30
\][/tex]
4. Calculate the probability a randomly chosen cell is observed undergoing cell division:
[tex]\[
\text{Probability} = \left(\frac{\text{Number of cells undergoing cell division}}{\text{Total number of cells}}\right) \times 100
\][/tex]
[tex]\[
\text{Probability} = \left(\frac{30}{200}\right) \times 100 = 15 \%
\][/tex]
Therefore, the probability that a randomly chosen cell will be observed undergoing cell division is [tex]\(15\% \)[/tex].
So, the correct answer is:
A. [tex]\(15\%\)[/tex]
