Fill in the blank.
Two events and are
Two events and are the occurrence of event in a probability experiment does not affect the probability of event .

Two events and are said to be independent if the occurrence of event in a probability experiment does not affect the probability of event . This means that the probability of both events occurring together is simply the product of their individual probabilities: .

This concept is super handy in real life! Imagine flipping a coin and rolling a die at the same time. The outcome of the coin (heads or tails) does not influence what number comes up on the die. So, understanding independence helps in making smarter bets or predictions in games of chance!