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Probability and Statistics - Khan Academy

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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
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/ ... 225 views watch video download
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 ... 279 views watch video download
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 ... 248 views watch video download
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 ... 252 views watch video download
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 ... 282 views watch video download
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 ... 268 views watch video download
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 ... 180 views watch video download
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 ... 273 views watch video download
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 ... 187 views watch video download
10) Frequency Stability Can humans generate truly random sequences More free lessons at: http://www.khanacademy.org/video?v=vVXbg 174 views watch video download
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 ... 253 views watch video download
12) Probability (part 2) Let's flip a coin. More free lessons at: http://www.khanacademy.org/video?v=6E_NV 259 views watch video download
13) Probability (part 3) More on probability. More free lessons at: http://www.khanacademy.org/video?v=wBDOC 221 views watch video download
14) Probability (part 4) More on free throws. More free lessons at: http://www.khanacademy.org/video?v=W581O 254 views watch video download
15) Probability (part 5) Probability of getting a certain number roll in Monopoly More free lessons at: http://www.khanacademy.org/video?v=2XToW 202 views watch video download
16) Probability (part 6) Introduction to conditional probability More free lessons at: http://www.khanacademy.org/video?v=xf3vf 276 views watch video download
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 ... 228 views watch video download
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 ... 199 views watch video download
19) Probability (part 7) More on conditional probability. Touch on Bayes' Theorem. More free lessons at: http://www.khanacademy.org/video?v=BLcge 204 views watch video download
20) Probability (part 8) Introduction to Bayes' Theorem More free lessons at: http://www.khanacademy.org/video?v=VVr8s 203 views watch video download
21) Permutations Introduction to permutations More free lessons at: http://www.khanacademy.org/video?v=XqQTX 304 views watch video download
22) Combinations Introduction to combinations More free lessons at: http://www.khanacademy.org/video?v=bCxMh 285 views watch video download
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 ... 198 views watch video download
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 ... 183 views watch video download
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 ... 214 views watch video download
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 ... 169 views watch video download
27) Introduction to Random Variables Introduction to random variables and probability distribution functions. More free lessons at: http://www.khanacademy.org/video?v=IYdiK 265 views watch video download
28) Probability density functions Probability density functions for continuous random variables. Watch the next lesson: https://www.khanacademy.org/math/probabi ... 180 views watch video download
29) Binomial Distribution 1 Introduction to the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=O12yT 247 views watch video download
30) Binomial Distribution 2 More on the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=FI8xt 248 views watch video download
31) Binomial Distribution 3 Basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=vKNpQ 233 views watch video download
32) Binomial Distribution 4 Using Excel to visualize the basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=H0ZgO 206 views watch video download
33) Expected Value: E(X) Expected value of a random variable 255 views watch video download
34) Expected value of binomial distribution 205 views watch video download
35) Poisson process 1 Introduction to Poisson Processes and the Poisson Distribution. 218 views watch video download
36) Poisson process 2 More of the derivation of the Poisson Distribution. 271 views watch video download
37) Law of large numbers Introduction to the law of large numbers 241 views watch video download
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 ... 167 views watch video download
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 ... 297 views watch video download
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 ... 171 views watch video download
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 ... 283 views watch video download

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Lessons hide description

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/ ...

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 ...

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

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

Can humans generate truly random sequences More free lessons at: http://www.khanacademy.org/video?v=vVXbg

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 ...

Let's flip a coin. More free lessons at: http://www.khanacademy.org/video?v=6E_NV

More on probability. More free lessons at: http://www.khanacademy.org/video?v=wBDOC

More on free throws. More free lessons at: http://www.khanacademy.org/video?v=W581O

Probability of getting a certain number roll in Monopoly More free lessons at: http://www.khanacademy.org/video?v=2XToW

Introduction to conditional probability More free lessons at: http://www.khanacademy.org/video?v=xf3vf

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 ...

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 ...

More on conditional probability. Touch on Bayes' Theorem. More free lessons at: http://www.khanacademy.org/video?v=BLcge

Introduction to Bayes' Theorem More free lessons at: http://www.khanacademy.org/video?v=VVr8s

Introduction to permutations More free lessons at: http://www.khanacademy.org/video?v=XqQTX

Introduction to combinations More free lessons at: http://www.khanacademy.org/video?v=bCxMh

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 ...

Making at least 3 out of 5 free throws. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/proba ...

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 ...

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 ...

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

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

Introduction to the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=O12yT

More on the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=FI8xt

Basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=vKNpQ

Using Excel to visualize the basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=H0ZgO

Expected value of a random variable

Introduction to Poisson Processes and the Poisson Distribution.

More of the derivation of the Poisson Distribution.

Introduction to the law of large numbers

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 ...

Probability of winning the Mega Millions jackpot Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...

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 ...

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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