Probability and statistics
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Independent and dependent events
Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.
Basic probability
Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket?
Even if we are unsure about whether something will happen, can we start to be mathematical about the "chances" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.
Venn diagrams and adding probabilities
What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).
Compound, independent events
What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).
In this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).
- Compound Probability of Independent Events
- Getting At Least One Heads
- Example: Probability of rolling doubles
- LeBron Asks: What are the chances of making 10 free throws in a row?
- LeBron Asks: What are the chances of three free throws versus one three pointer?
- Frequency Probability and Unfair Coins
- Example: Getting two questions right on an exam
- Example: Rolling even three times
- Independent probability
- Frequency Stability
Dependent probability
What's the probability of picking two "e" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.
Basic set operations
Whether you are learning computer science, logic, or probability (or a bunch of other things), it can be very, very useful to have this "set" of skills. From what a set is to how we can operate on them, this tutorial will have you familiar with the basics of sets!
Old school probability (very optional)
Sal's old videos on probability. Covered better in other tutorials but here because some people actually like these better.