If P(A) = 0.6 and P(B|A) = 0.4, what is P(A and B)?Group of answer choices0.400.60.24

To find $P(A \text{ and } B)$, we can use the definition of conditional probability. The formula for conditional probability is:

$P(B|A) = \frac{P(A \text{ and } B)}{P(A)}$

We are given:

• $P(A) = 0.6$
• $P(B|A) = 0.4$

We need to find $P(A \text{ and } B)$. Rearrange the formula to solve for $P(A \text{ and } B)$:

$P(A \text{ and } B) = P(B|A) \times P(A)$

Substitute the given values into the formula:

$P(A \text{ and } B) = 0.4 \times 0.6$

Calculate the product:

$P(A \text{ and } B) = 0.24$

So, the probability $P(A \text{ and } B)$ is $0.24$.