Combinatorics

Ordering, expectation, boys and girls in line, C1.

[STEP I 2009 Question 13 (Mechanics)]

Married couples sitting at a table, elementary probability, C1.

[STEP I 2008 Question 13 (Probability and Statistics)]

10 and 20 pence coins, number of ways, C1.

[STEP I 1997 Question 1 (Pure)]

Binomial coefficients, exam scripts, expectation, C1.

[STEP I 1996 Question 12 (Probability and Statistics)]

Recurrence relation, proof by induction.

[STEP II 1995 Question 2 (Pure)]

Dice, colors, number of ways, C1.

[STEP I 1993 Question 1 (Pure)]

Pack of cards, without replacement, identical, elementary probabliity.

[STEP III 1991 Question 15 (Probability and Statistics)]

Balls from urns, mean, expectation, variance, sum of random variable, indicator function.

[STEP III 1988 Question 16 (Probability and Statistics)]

President of the republic, no children, sons and daughters, expectation.

[STEP III Specimen Question 16 (Probability and Statistics)]