To determine the joint probability [tex]\( P(A \text{ and } B) \)[/tex] for two independent events [tex]\( A \)[/tex] and [tex]\( B \)[/tex], we use the rule that states:
[tex]\[ P(A \text{ and } B) = P(A) \times P(B) \][/tex]
Given the probabilities:
- [tex]\( P(A) = 0.93 \)[/tex]
- [tex]\( P(B) = 0.41 \)[/tex]
By applying the formula for independent events:
[tex]\[ P(A \text{ and } B) = 0.93 \times 0.41 \][/tex]
The result of this multiplication is:
[tex]\[ P(A \text{ and } B) = 0.3813 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{0.3813} \][/tex]
So, the answer is [tex]\( \text{b) 0.3813} \)[/tex].
