Compound Probability of Independent Events
The probabilities of simple events can be combined, or compounded, to find the probability of two or more events happening. When outcomes of these events don't depend on each other, the events are considered independent. This lecture series presents examples of calculating compound probabilities of independent events using diagrams. Watch the videos and complete the interactive exercises.
Practice
Probabilities of compound events - Questions
1. Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 3 choices for her trip home.
If Elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?
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2. If you roll two fair six-sided dice, what is the probability that the sum is 
or higher?
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3. You're at a clothing store that dyes your clothes while you wait. You get to pick from 
pieces of clothing (shirt, pants, socks, or hat) and 
colors (purple, blue, or orange).
If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?
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4. If you flip three fair coins, what is the probability that you'll get heads on the first two flips and tails on the last flip?
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