Learn the basics of probability and its applications with this comprehensive guide.

"Students build a formal understanding of probability, considering complex events such as unions, intersections, and complements as well as the concept of independence and conditional probability.

We give you an introduction to probability through the example of flipping a quarter and rolling a die.

The probability of Bob having flipped the fair coin isn't simply 50% after observing the outcome of the flip because this scenario involves conditional probability.

This formula says that we can multiply the probabilities of two events, but we need to take the first event into account when considering the probability of the second event.

In this problem, when we're asked to find the probability that a randomly chosen bag triggers the alarm given that it contains a forbidden item, we're essentially finding P (A ∣ F), which is P (A ∩ F) / P (F).

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Practice calculating conditional probability, that is, the probability that one event occurs given that another event has also occurred.

When you have a relative frequency histogram (discrete) you plot the probability that the data falls in one of those rectangles, but each value of your data can only be exactly in one of them.

You've experienced probability when you've flipped a coin, rolled some dice, or looked at a weather forecast. Go deeper with your understanding of probability as you learn about theoretical, …