What is Conditional Probability?
Conditional probability is like a game of chance, but with more math.
Let's consider a simple example: flipping a coin. The probability of getting heads is 50%, but what if we add a condition? Like, what if we only care about getting heads if the other coin lands on tails?
That's right, folks. It's like a probability party in here!
Example Time!
Conditional Probability Experiment: Coin Flip
Flip a coin, and if it lands on tails, we get to flip again. But only if it lands on heads the second time, we win the game!
Practice Problems!
Practice Problem 1: Card Draw
What is the probability of drawing a red card from a standard deck if we only consider the case where we've already drawn a black card?
Practice Problem 2: Dice Roll
What is the probability of rolling a 6 on a single die if we only care about the case where we've rolled a 4 or 5 first?