Question 3 Score: 0 of 1 point Given two independent events \( A \) and \( B \) with probabilities 0.694 and 0.148 respectively, what is the probability that both events occur? A 0.1027 B 0.0924 C 0.1232 D 0.113 E 0.0822

To find the probability that both independent events \( A \) and \( B \) occur, you simply multiply their probabilities together. So, if \( P(A) = 0.694 \) and \( P(B) = 0.148 \), the calculation would be: \[ P(A \text{ and } B) = P(A) \times P(B) = 0.694 \times 0.148 \] Calculating that gives: \[ 0.694 \times 0.148 = 0.102592 \] Rounding this, we see that the closest answer is: **A 0.1027**.