Let  P(A)=1/6  and  P(B)=1/5 . What is  P(A and B) ? Round your answer to the nearest hundredth if using a decimal.(1 point)

1 answer

To find \( P(A \text{ and } B) \), we need additional information about whether events A and B are independent. If A and B are independent, we can use the formula:

\[ P(A \text{ and } B) = P(A) \times P(B) \]

Given \( P(A) = \frac{1}{6} \) and \( P(B) = \frac{1}{5} \):

\[ P(A \text{ and } B) = \frac{1}{6} \times \frac{1}{5} = \frac{1}{30} \]

Now we convert \( \frac{1}{30} \) into a decimal:

\[ \frac{1}{30} \approx 0.0333\ldots \]

Rounding to the nearest hundredth gives:

\[ P(A \text{ and } B) \approx 0.03 \]

If A and B are not independent, then we need more information to determine \( P(A \text{ and } B) \). However, assuming they are independent, the final answer is:

\[ \boxed{0.03} \]