Probability

Back to topics list

In order of increasing difficulty (approximately).

Everything

30 31 26 1202 22 1184 32 47 29 1205 1445 2193 1283 1966 2262 50 25 1444 1130 1086 1045 34 2372 847 27 10 1016 1882 1048 33 1111 37 1865 38 158 24 51 53 472 1537 805 852 962 1021 1071 1150 1190 1269 1265 1450 534 1906 1930 1955 174 262 607 309 352 339 636 639 652 654 772 832 987 1051 2138 1167 1213 1428 1508 1536 502 1650 1735 1885 1247 757 787 790 817 905 940 1285 1448 1485 1506 1555 1651 1689 1747 1928 2199 314 945 1491 389 1540 1025 2013 1155 480 538 1557 627 875 674 1040 734 329 1041 1857 2395 1232 2172 1912 1696 1231 1913 371 1769 1771 1177 1043 2364 48 192 1994 1990 86 494 774 206 236 249 1100 2116 567 280 375 2256 464 453 781 435 676 380 208 104 39 391 332 239 272 44 49 420 767 661 695 766 692 2397

50-50 probability trick

1537

Area

1491

Assign variables write equations

39

Basic

31 33

Bayes

51 772 832 48 774 39 49

Be careful

1491

Bernoulli

47 48

Block walking

44

Cases with probability

50 24 639

Casework

639 192 86

Complementary counting

86

Constructive counting

27

Constructive probability

26 47 29 25 847 10 24 53 502 48 49

Divisibility tests

2372

Floor & ceiling

695

Geometric probability

652 945 1491 464 435 49 695

No two adjacent

852 104

Overcounting

30

Polar form

1491

Principle of inclusion-exclusion

389

Probability of AND

38 49

Processes

627 2364 44

Recursion

192 453 239

State diagrams

2364 44

Symmetric outcomes are equally likely

22 32 34 37

Symmetry in counting

380

Triangle inequality

435

Try them all

2372

Not Classified Yet

1202 1184 1205 1445 2193 1283 1966 2262 1444 1130 1086 1045 1016 1882 1048 1111 1865 158 472 805 962 1021 1071 1150 1190 1269 1265 1450 534 1906 1930 1955 174 262 607 309 352 339 636 654 987 1051 2138 1167 1213 1428 1508 1536 1650 1735 1885 1247 757 787 790 817 905 940 1285 1448 1485 1506 1555 1651 1689 1747 1928 2199 314 1540 1025 2013 1155 480 538 1557 875 674 1040 734 329 1041 1857 2395 1232 2172 1912 1696 1231 1913 371 1769 1771 1177 1043 1994 1990 494 206 236 249 1100 2116 567 280 375 2256 781 676 208 391 332 272 420 767 661 766 692 2397

For questions or comments, please email markan@eudelic.com.

Registration open for AMC10/12 prep class

Registration is now open. See details here.