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The analysis of events governed by probability is called statistics. View all of Khan Academy’s lessons and practice exercises on probability and statistics. The best example for understanding probability is flipping a coin: There are two possible outcomes—heads or tails.
This Khan Academy video compares theoretical and experimental probabilities for seventh-grade math students.
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We give you an introduction to probability through the example of flipping a quarter and rolling a die.
This problem can be solved using binomial distribution. n = 4, Probabilitiy of getting a head = 1/2 probability of not getting a head = 1/2. The binomial probability formula is, P (x) = nCx px qn-x. p (x>2) = P (X=3) + P ( X = 4) = 4C3 (1/2)^3 (1/2)^1 + 4C4 (1/2)4 (1/2)^0. = 4 (1/2)^4 + 1 (1/2)4.
If you're curious about the mathematical ins and outs of probability, you've come to the right unit! Here, we'll take a deep dive into the many ways we can calculate the likelihood of different outcomes.
Probability and combinatorics are the conceptual framework on which the world of statistics is built. Besides this important role, they are fascinating, fun, and often surprising!
Khan Academy
First, what's the probability of getting a head per flip? It is 1 / 2 = 0.5. Now, what's the probability of getting 2 heads in 2 flip? You have to flip head for the first time, and for the second time as well, so it will be 0.5 * 0.5 = 0.25. You can expand this to 1000 times, which is 0.5^1000.
Math: Pre-K - 8th grade; Pre-K through grade 2 (Khan Kids) Early math review; 2nd grade; 3rd grade; 4th grade; 5th grade; 6th grade; 7th grade; 8th grade; 3rd grade math (Illustrative Math-aligned)