# Probability and Statistics - Khan Academy

Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

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## Lessons hide description |
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## 1) Probability explained | Independent and dependent events## We give you an introduction to probability through the example of flipping a quarter and rolling a die. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ ... |

## 2) Probability with playing cards and Venn diagrams## Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 3) Addition rule for probability## Venn diagrams and the addition rule for probability Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 4) Finding probability example 2## In this example we are figuring out the probability of randomly picking a non-blue marble from a bag. Again, we'll have to think about the possible outcomes first. Practice this lesson yourself on Kh ... |

## 5) Compound probability of independent events## You'll become familiar with the concept of independent events, or that one event in no way affects what happens in the second event. Keep in mind, too, that the sum of the probabilities of all the pos ... |

## 6) Coin flipping probability## In this video, we' ll explore the probability of getting at least one heads in multiple flips of a fair coin. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org ... |

## 7) Probability without equally likely events## Up until now, we've looked at probabilities surrounding only equally likely events. What about probabilities when we don't have equally likely events? Say, we have unfair coins? Practice this lesson ... |

## 8) Getting exactly two heads (combinatorics)## A different way to think about the probability of getting 2 heads in 4 flips Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 9) Exactly three heads in five flips## Probability of exactly 3 heads in 5 flips using combinations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 10) Frequency Stability## Can humans generate truly random sequences More free lessons at: http://www.khanacademy.org/video?v=vVXbg |

## 11) Generalizing with binomial coefficients (bit advanced)## Conceptual understanding of where the formula for binomial coefficients come from Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 12) Probability (part 2)## Let's flip a coin. More free lessons at: http://www.khanacademy.org/video?v=6E_NV |

## 13) Probability (part 3)## More on probability. More free lessons at: http://www.khanacademy.org/video?v=wBDOC |

## 14) Probability (part 4)## More on free throws. More free lessons at: http://www.khanacademy.org/video?v=W581O |

## 15) Probability (part 5)## Probability of getting a certain number roll in Monopoly More free lessons at: http://www.khanacademy.org/video?v=2XToW |

## 16) Probability (part 6)## Introduction to conditional probability More free lessons at: http://www.khanacademy.org/video?v=xf3vf |

## 17) Dependent probability example## We're thinking about how the probability of an event can be dependent on another event occuring in this example problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khan ... |

## 18) Dependent probability example 2## It's important to practice these probability problems as they get more complex eventually. Take a stab on this one...with our help, of course. Practice this lesson yourself on KhanAcademy.org right n ... |

## 19) Probability (part 7)## More on conditional probability. Touch on Bayes' Theorem. More free lessons at: http://www.khanacademy.org/video?v=BLcge |

## 20) Probability (part 8)## Introduction to Bayes' Theorem More free lessons at: http://www.khanacademy.org/video?v=VVr8s |

## 21) Permutations## Introduction to permutations More free lessons at: http://www.khanacademy.org/video?v=XqQTX |

## 22) Combinations## Introduction to combinations More free lessons at: http://www.khanacademy.org/video?v=bCxMh |

## 23) Probability using combinations## Probability of getting exactly 3 heads in 8 flips of a fair coin. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 24) Probability and combinations (part 2)## Making at least 3 out of 5 free throws. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 25) Conditional probability and combinations## Probability that I picked a fair coin given that I flipped 4 out of 6 heads. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 26) Birthday probability problem## The probability that at least 2 people in a room of 30 share the same birthday. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 27) Introduction to Random Variables## Introduction to random variables and probability distribution functions. More free lessons at: http://www.khanacademy.org/video?v=IYdiK |

## 28) Probability density functions## Probability density functions for continuous random variables. Watch the next lesson: https://www.khanacademy.org/math/probabi ... |

## 29) Binomial Distribution 1## Introduction to the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=O12yT |

## 30) Binomial Distribution 2## More on the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=FI8xt |

## 31) Binomial Distribution 3## Basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=vKNpQ |

## 32) Binomial Distribution 4## Using Excel to visualize the basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=H0ZgO |

## 33) Expected Value: E(X)## Expected value of a random variable |

## 35) Poisson process 1## Introduction to Poisson Processes and the Poisson Distribution. |

## 36) Poisson process 2## More of the derivation of the Poisson Distribution. |

## 37) Law of large numbers## Introduction to the law of large numbers |

## 38) Term life insurance and death probability## Understanding an insurance company's sense of my chances of dying. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ... |

## 39) Mega millions jackpot probability | Probability and combinatorics | Precalculus | Khan Academy## Probability of winning the Mega Millions jackpot Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ... |

## 40) Free throwing probability## Our friend and Cleveland Cavalier, LeBron James, asks Sal how to determine the probability of making 10 free throws in a row. Hint: the answer is surprising! Practice this lesson yourself on KhanAcad ... |

## 41) Three pointer vs free throwing probability## Our friend and Cleveland Cavalier, LeBron James, asks Sal if there's a high probability of making three free throws in a row or one three-pointer. Before solving the problem, jot down what you think t ... |

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