Coin-tossing game, sequence, elementary probability, C1

[STEP II 2015 Question 12 (Probability and Statistics)]

Elementary probability, straight and alternating runs.

[STEP II 2013 Question 13 (Mechanics)]

Conditional expectation, sum of random variables, probability generating function, pgf, expectation and variance.

[STEP III 2009 Question 12 (Probability and Statistics)]

Expectation, C1.

[STEP III 2002 Question 12 (Probability and Statistics)]

Binomial expansion, normal approximation.

[STEP II 2002 Question 12 (Probability and Statistics)]

Elementary probability, conditional probability, C1-ish.

[STEP III 2001 Question 13 (Probability and Statistics)]

Random variable, expectation, minimum, variance, cumulative distribution function, cdf, mean.

[STEP II 2001 Question 14 (Mechanics)]

Biased coin, probability generating function, pgf, expectation and variance, sample cards, normal approximation, harmonic series.

[STEP III 1997 Question 12 (Probability and Statistics)]

Biased coin, successive, conditional probability, C1.

[STEP I 1996 Question 14 (Probability and Statistics)]

Elementary probability, expectation, binomial distribution, C1ish.

[STEP III 1993 Question 15 (Probability and Statistics)]