Skip to content
Your progress

Checking your sign-in…

Who's learning?

Each profile keeps its own read lessons, badges, streak, and practice scores on this device.

Mathematics Class 9

The Mathematics of Maybe: Introduction to Probability

Turn everyday chances into numbers from 0 to 1, using counts, tables and trees.

11 lessons · ~82 min total

Track progress — 0 of 11 lessons read 0%

Lessons in this topic

  1. 0 Start here A roadmap: randomness, the 0-to-1 scale, counting chances two ways, and reading tables and trees. · 4 min You are here
  2. 1 What random means The next toss cannot be called, but a whole run of tosses can be described. · 8 min
  3. 2 A scale from 0 to 1 A chance is a number from 0 to 1, and one complete set of chances adds to exactly 1. · 8 min
  4. 3 Counting what happened An observed chance is a count over the whole run of trials, not over part of it. · 8 min
  5. 4 More tries, steadier The observed share settles as tries grow, but it need not equal one number exactly. · 8 min
  6. 5 Counting what could happen A worked-out chance counts the outcomes an event allows, once they are checked equally likely. · 8 min
  7. 6 When the two disagree Observed and worked-out chances can differ. With few rolls, a gap is normal. · 8 min
  8. 7 Two things at once Two actions make a table of pairs, and "exactly one head" is two cells, not one of three. · 8 min
  9. 8 A tree of results A tree draws the same pairs in stages, and the chances along a path multiply. · 8 min
  10. 9 The big picture Eight ideas on one screen: counting a chance from trials, from the set-up, from a table and from a tree. · 6 min
  11. 10 Track quiz A cheat-sheet table plus a reveal quiz, one question per idea. · 8 min