To find \( P(A \text{ and } B) \) for two independent events, you can use the formula:
\[ P(A \text{ and } B) = P(A) \times P(B) \]
However, the probabilities \( P(A) \) and \( P(B) \) should be given as fractions between 0 and 1. It looks like you provided values \( P(A) = 59 \) and \( P(B) = 29 \), which are not valid probabilities.
Assuming you meant \( P(A) = 0.59 \) and \( P(B) = 0.29 \), let's calculate:
\[ P(A \text{ and } B) = P(A) \times P(B) = 0.59 \times 0.29 \]
Calculating this:
\[ 0.59 \times 0.29 = 0.1711 \]
To express this as a fraction, we can convert it as follows:
\[ 0.1711 \approx 1711/10000 \]
However, if we should convert to the format of the provided options simply to find the one that approximates well to our computation, we'll note that none of the provided options are in this form.
If you intend for \( P(A) \) and \( P(B) \) to be expressed differently, or if 59 and 29 were mistakes, please clarify, and I can assist you further! If you still mean \( \frac{59}{100} \) and \( \frac{29}{100} \):
The correct calculation would be:
\[ P(A \text{ and } B) = \frac{59}{100} \times \frac{29}{100} = \frac{1711}{10000} \]
None of the suggested answers matches \( \frac{1711}{10000} \). Please check the values or provide more context!