- Topics At a Glance
- Types of Data
- Qualitative v. Quantitative Data
- Categorical Data
- Discrete v. Continuous Data
- Univariate v. Bivariate Data
- Analysis of Single-Variable Data
- Range
- Mode
- Mean/Average
- Median
- Quartiles
- Pictures of Single-Variable Data
- Stem and Leaf Plots
- Bar Graphs and Histograms
- Pie Charts/Circle Graphs
- Box and Whisker Plots
- Bivariate Data
- Scatter Plots
- Linear Regression
- Probability
- Outcomes and Events
- Important Elements
- Odds
- Compound Events
- Independent and Dependent Events
- Mutually Exclusive Events
- Factorials, Permutations, and Combinations
- Factorials and Permutations
- Combinations
- More Probability
- In the Real World
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem
Introduction to Compound Events:
A compound event, not a riot that occurs on prison grounds, is an event that can be described in terms of simpler events.
A compound event will often, but not always, involve multiple experiments. Outcomes that result from combining two experiments are written like ordered pairs:
(outcome of first experiment, outcome of second experiment).
For instance, if Dr. Frankenstein tried bringing his creation to life AND curing its acne in one fell swoop, he would be engaging in a compound event.
Sample Problem
If we roll a die and flip a coin, the sample space is
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}.
"Rolling an even number and landing a head on the coin flip" is a compound event, since this event can be described in terms of the two simpler events "rolling an even number" and "landing a head on the coin flip."
Compound Events Practice:
An experiment consists of rolling two fair dice.
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What is the set corresponding to the event "rolling an even number and landing a head on the coin flip?"
Seems like an awfully complicated alternative to drawing straws, but okay.
What is the probability of rolling an even number and landing a head on the coin flip?
