If two events are independent, the probability of both events occurring is the product of their individual probability. Events A and B are independent with P(A)=0.3

Question

and P(B)=0.25
. What is the probability of events A and B happening at the same time? Write your answer in decimal form.(1 point)

Answer 1

To find the probability of both independent events A and B occurring at the same time, you multiply their individual probabilities together.

Given:

• \( P(A) = 0.3 \)
• \( P(B) = 0.25 \)

The probability of both A and B occurring, denoted as \( P(A \cap B) \), is calculated as follows:

\[ P(A \cap B) = P(A) \times P(B) \]

Substituting the values:

\[ P(A \cap B) = 0.3 \times 0.25 = 0.075 \]

Therefore, the probability of events A and B happening at the same time is \( \boxed{0.075} \).