Probability
Geometric Distribution worksheets
Model the number of trials through the first success using exact, cumulative, tail, mean, and variance questions.
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Binomial Distribution worksheets
Calculate exact, at-most, and at-least binomial probabilities plus mean and variance for bounded trial counts.
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Assume fixed independent trials with constant success probability. Identify n, p, and X before using the binomial formula; round only final probabilities.
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Each worksheet states the sample-space assumptions, distribution support, and counting convention needed for the selected model. Probability tables stay fully labeled, and Bayes questions identify the conditioning event before reversing it.
Learning objective
What this activity builds
Recognize a binomial setting and use its probability formula, complements, mean, and population variance.
Worked example
If X is binomial with n=5 and p=1/2, find P(X=2).
C(5,2)(1/2)^2(1/2)^3 = 10/32 = 0.3125.
The combination counts placements of two successes among five independent trials.
Teaching notes
Make the practice count
- Check all four binomial assumptions first.
- Translate at least with a complement when it shortens the sum.
- Keep full calculator precision until the final line.
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