Chapter 14. Probability

2 sections · about 16 pages in the Mathematics book (jemh114.pdf). Section anchors below are the targets of the citation chips you get back from an answer.

The samjho API is not answering

Tried http://localhost:8000 — Could not reach the samjho API at http://localhost:8000.

The chapter list on this page is still real: it was read from /var/task/data/syllabus/class10.json on this machine, which ships with the repo. Asking questions and taking quizzes need the API, so those are unavailable until it is running.

Ingest state of chapter 14 is unknown

samjho could not establish whether this chapter's text has been ingested, so it will not claim either way. Could not ask the API (Could not reach the samjho API at http://localhost:8000.) Chapter detail request failed: Could not reach the samjho API at http://localhost:8000.

Sections

§14.1Probability — A Theoretical Approach — book page 1
§14.2Summary — book page 16

Study this chapter — ask questions and take the quiz Go straight to the quiz

Concept animations for this chapter

Interactive explanations, drawn in the page — no video, no external scripts. Each one is keyboard operable, has a “what to notice” caption, and a “try this” prompt that changes what it shows.

Probability — relative frequency converging to the theoretical value

conceptId: probability-sim

Probability: watch the frequency settle

CBSE Class 10 Mathematics · Ch 14 §14.1 — theoretical probability is what the relative frequency approaches as the number of trials grows.

Experiment1 favourable face out of 2

trials run: 0
successes: 0
relative frequency: —
theoretical probability: 0.5000
|observed − theoretical|: —
trials left before the 20,000 cap: 20000

What to notice: a single toss is unpredictable, but the running relative frequency (blue) swings wildly for a few trials and then hugs the theoretical line (amber) more and more tightly — that is the empirical meaning of probability.

Try this: run 10 trials and note the gap, then run 1000 and compare the two gaps. Switch to the die and watch the same machinery converge on 1/6 instead of 1/2.

10 further animations in the registries belong to other chapters.