Sample spaces for coins, dice and cards, simple probability, expected frequency, relative frequency, contingency tables and drawing sound conclusions from data.
5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
A weather forecast says 70% chance of rain. A coin has a 50% chance of heads. What do these numbers really mean — and how do you work them out?
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Roll a die many times and watch the relative frequencies.
Copy these into your notebook in your own words — that is how they stick.
P(E) = n(E) ÷ n(S) for equally likely outcomes; 0 ≤ P ≤ 1; P(not E) = 1 − P(E).
Coin: H, T. Die: 1–6. Two coins: 4 outcomes. Two dice: 36 outcomes. Coin + die: 12.
52 cards; 4 suits × 13; 26 red, 26 black; 12 face cards; 4 aces; 4 kings.
Probability × number of trials.
Number of successes ÷ number of trials (experimental probability).
Systematic list or grid so no outcomes are missed.
Rows × columns of counts; read the cell for “both” and divide by the grand total.
State evidence, compare, mention limits (sample size, bias), use cautious wording.
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Mathematics Arcade.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (16 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [8 marks]
A fair coin is tossed and a fair six-sided die is rolled.
(a) List the sample space. [3]
(b) Find the probability of getting a head and an even number. [2]
(c) Find the probability of getting a tail OR a six. [2]
(d) The coin is tossed 200 times. How many heads would you expect? [1]
Question 2 [8 marks]
Two fair dice are rolled and the scores are added.
(a) Show that the probability of a total of at least 10 is 1/6. [3]
(b) Find the probability that the total is 2 or 12. [2]
(c) In an experiment the dice are thrown 50 times and a total of 7 occurs 9 times. Compare the relative frequency with the theoretical probability. [3]
Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.