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Probability using combinatorics
This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better "investments" than poring all your money into the Powerball Lottery.
The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.
Manually going through the combinatorics to determine the probability of an event occuring
A different way to think about the probability of getting 2 heads in 4 flips
Making at least 3 out of 5 free throws.
Probability of getting exactly 3 heads in 8 flips of a fair coin.
Probability of exactly 3 heads in 5 flips using combinations
Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.
Probability of getting a set of cards
What is the probability of winning a 4-number lottery?
Probability of winning the Mega Millions jackpot
Conceptual understanding of where the formula for binomial coefficients come from
Probability that I picked a fair coin given that I flipped 4 out of 6 heads.
Conditional probability visualized using trees.
The probability that at least 2 people in a room of 30 share the same birthday.
Probability questions using permutations and combinations of objects