Answer the following question based on the data in the table.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
\multirow{2}{*}{\begin{tabular}{l}
Iron \\
Deficiency
\end{tabular}} & \multicolumn{6}{|c|}{ Age } \\
\hline
& \begin{tabular}{l}
Less than \\
20 years
\end{tabular} & [tex]$20-30$[/tex] years & & Above & 30 years & Total \\
\hline
Yes & 41 & 37 & & & 24 & 102 \\
\hline
No & 109 & 43 & & & 46 & 198 \\
\hline
Total & 150 & 80 & & & 70 & 300 \\
\hline
\end{tabular}

What is the probability that a person with an iron deficiency is 20 years or older?

A. 0.23

B. 0.34

C. 0.60

D. 0.78



Answer :

To determine the probability that a person with an iron deficiency is 20 years or older, we need to follow these steps:

1. Identify Relevant Data:
- From the table, we identify the number of people with iron deficiency who are 20-30 years old and those who are above 30 years old.
- Iron deficiency cases for 20-30 years: 37
- Iron deficiency cases for above 30 years: 24

2. Combine the Groups:
- Add the number of people with iron deficiency in the two age groups (20-30 years and above 30 years).
- Number of people with iron deficiency aged 20 years and older = 37 (20-30 years) + 24 (above 30 years) = 61

3. Total Number of People with Iron Deficiency:
- From the table, the total number of people with iron deficiency is given as 102.

4. Calculate the Probability:
- The probability that a person with an iron deficiency is 20 years or older is determined by dividing the number of people with an iron deficiency aged 20 years and older by the total number of people with an iron deficiency.
- Probability = Number of people with iron deficiency aged 20 years and older / Total number of people with iron deficiency
- Probability = 61 / 102 ≈ 0.598

5. Final Answer:
- The probability that a person with an iron deficiency is 20 years or older is approximately 0.60.

Therefore, the correct answer is C. 0.60