To solve this problem, we need to calculate the probability of experiencing side effects for both adults and children separately and then compare these probabilities.
### Step 1: Probability Calculation for Adults
The table shows that there are 6 adults who experienced side effects out of a total of 50 adults. The probability [tex]\( P(\text{Side effects | Adult}) \)[/tex] can be calculated using the formula:
[tex]\[
P(\text{Side effects | Adult}) = \frac{\text{Number of adults with side effects}}{\text{Total number of adults}}
\][/tex]
Using the values from the table:
[tex]\[
P(\text{Side effects | Adult}) = \frac{6}{50} = 0.12
\][/tex]
### Step 2: Probability Calculation for Children
Similarly, the table shows that there are 20 children who experienced side effects out of a total of 50 children. The probability [tex]\( P(\text{Side effects | Child}) \)[/tex] can be calculated using the formula:
[tex]\[
P(\text{Side effects | Child}) = \frac{\text{Number of children with side effects}}{\text{Total number of children}}
\][/tex]
Using the values from the table:
[tex]\[
P(\text{Side effects | Child}) = \frac{20}{50} = 0.4
\][/tex]
### Step 3: Comparison of Probabilities
Now we compare the two probabilities we have calculated:
- Probability that an adult has side effects: 0.12
- Probability that a child has side effects: 0.4
### Conclusion
Based on these probabilities, we can conclude that children have a higher probability of experiencing side effects from the drug compared to adults. Specifically, the probability that a child experiences side effects (0.4) is greater than the probability that an adult experiences side effects (0.12).
