1. Question 1. If two evente are independent, the probability of both evente happening is: a) The sum of their individual probabilitien. b) The difference of their individual probabilities. c) The product of their individual probabilities. d) Not related to their individual probabilitios.

To determine the probability of two independent events happening, we need to understand the definition of independent events in probability. 1. **Independent Events**: Two events \( A \) and \( B \) are said to be independent if the occurrence of one does not affect the occurrence of the other. 2. **Probability of Independent Events**: The probability of both events \( A \) and \( B \) happening is given by the formula: \[ P(A \cap B) = P(A) \times P(B) \] where \( P(A) \) is the probability of event \( A \) occurring, and \( P(B) \) is the probability of event \( B \) occurring. Now, let's analyze the options provided: - a) The sum of their individual probabilities. (Incorrect) - b) The difference of their individual probabilities. (Incorrect) - c) The product of their individual probabilities. (Correct) - d) Not related to their individual probabilities. (Incorrect) Thus, the correct answer is: **c) The product of their individual probabilities.**