Lecture notes. This is also covered in the compendium sections 4.2, 4.3, 4.6 and 4.5
10 minute video on frequencies, probabilities, averages and variance
Problems in the compendium (page 110->): 4.1, 4.2, 4.4
14 minute video on counting with combinatorics
- ordered sequence with replacement
- ordered sequence without replacement
- unordered sequence without replacement
- unordered sequence with replacement
Problems
- How many possible outcomes are there for throwing 1 die 5 times?
- How many possible outcomes are there for throwing 5 dice?
- Shuffle a deck of 52 cards. In how many different ways can you order 52 distinct cards?
- Shuffle a deck of 52 cards. In how many different ways can you order 13 distinct cards from the deck?
- How many different hands of 5 cards can you have from a deck of 52 cards?
Problems
- If we flip the coin N times, what is the probability that all the flips are ones?
- If we flip the coin N = 5 times, what is the probability of getting exactly 3 heads?
- in the compendium: 4.9 a), b), d) e), 4.5, 4.12, 4.18
11 minute video on binomial coefficients (how many ways you can choose k from a set of N elements = unordered sequence without replacement)