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.

Did you know that the concept of independent events comes from the foundational work in probability theory by mathematicians like Pierre-Simon Laplace in the 18th century? Laplace helped formalize the idea that two events are independent if the occurrence of one does not affect the occurrence of the other – keeping the math community buzzing with excitement! In real-world scenarios, independent events can be found all around us! For instance, consider flipping a fair coin and rolling a dice – the outcome of the coin flip doesn’t influence the numbers on the dice. This independence allows us to simply multiply their probabilities to get the likelihood of both happening! So, if you flip heads (1/2) and roll a six (1/6), the chance of both occurring simultaneously is (1/2) * (1/6) = 1/12!