Foundations of Probability
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Each question is graded on a single answer: a check that this chapter's methods work, not a test of the reasoning behind them.
A fair six-sided die is rolled once. What is the probability that the result is greater than ? Give your answer to decimal places.
Your answer
About these 109 questions
Sample spaces and events, the Kolmogorov axioms and the rules derived from them, counting, conditional probability, independence, total probability and Bayes' theorem. This set covers the chapter Foundations of Probability in Probability: 35 easy, 43 medium and 31 hard questions, each graded instantly with a hint and a full step-by-step solution. Progress is saved in this browser only.
- Sample spaces, events, and the axioms — 22 questions
- Counting outcomes — 19 questions
- Conditional probability — 18 questions
- Independence — 18 questions
- The law of total probability — 14 questions
- Bayes' theorem and base rates — 18 questions
For work on paper there is a printable problem set with separate worked solutions.