Khan Academy on a Stick
Independent and dependent events
Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.
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Basic Probability
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An introduction to probability
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Example: Marbles from a bag
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The probability of picking a yellow marble from a bag.
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Example: Picking a non-blue marble
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Example of figuring out the probability of picking a non-blue marble from a bag.
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Example: Picking a yellow marble
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Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.
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.
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Probability with Playing Cards and Venn Diagrams
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Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7
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Addition Rule for Probability
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Venn diagrams and the addition rule for probability
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).
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Compound Probability of Independent Events
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Probability of particular sequences of flips
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Getting At Least One Heads
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Probability of getting at least one heads in multiple flips of a fair coin
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Example: Probability of rolling doubles
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Thinking about the probability of rolling doubles on a pair of dice
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LeBron Asks: What are the chances of making 10 free throws in a row?
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LeBron James asks Sal how to determine the probability of making 10 free throws in a row
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LeBron Asks: What are the chances of three free throws versus one three pointer?
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LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.
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Frequency Probability and Unfair Coins
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A different way of thinking about probability when we don't have equally likely events
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Example: Getting two questions right on an exam
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Probability of two independent events occuring.
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Example: Rolling even three times
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Another example showing the probability of rolling an even number three times in a row.
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Frequency Stability
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What is the difference between a coin flip and a blind guess?
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).
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Introduction to dependent probability
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Deciding whether you want to play a game at a strange casino.
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Example: Dependent probability
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Thinking about how the probability of an event can be dependent on another event occuring.
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Example: Is an event independent or dependent?
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Independent Events 1
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Example: Bag of unfair coins
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Example where the probability of an outcome is dependent on which coin you happen to pick
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Monty Hall Problem
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Presentation and analysis of the famous Monty Hall Problem
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!
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Probability (part 1)
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What probability is.
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Probability (part 2)
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Let's flip a coin.
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Probability (part 3)
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More on probability.
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Probability (part 4)
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More on free throws.
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Probability (part 5)
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Probability of getting a certain number roll in Monopoly
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Probability (part 6)
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Introduction to conditional probability
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Probability (part 7)
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More on conditional probability. Touch on Bayes' Theorem.
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Probability (part 8)
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Introduction to Bayes' Theorem
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Introduction to Random Variables
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Introduction to random variables and probability distribution functions.
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.