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Probability Experiments

5 min readGrade 4 · Data & Probability

Grade 4 probability formalizes experimental results as fractions: if heads appeared 8 times in 20 flips, the experimental probability is 8/20 = 2/5. This fraction representation bridges informal probability language (more likely, less likely) and the formal probability scale from 0 to 1. First Peoples games of chance demonstrate that probabilistic reasoning is embedded in traditional gaming culture across many nations.

Probability as a fraction

Theoretical probability of rolling a 3 on a standard die: 1 outcome out of 6 possible = 1/6. Theoretical probability of drawing a red marble from a bag of 3 red and 7 blue = 3/10. Experimental probability: actual results as a fraction of total trials. 12 reds in 30 draws = 12/30 = 2/5. Comparing theoretical (3/10) to experimental (2/5=4/10): close but not identical.

Recording with tallies and converting

After 20 coin flips: heads: IIII IIII III (13), tails: IIII II (7). Experimental probability of heads: 13/20. Record in a table: outcome, tally, frequency, fraction. This structured recording builds the data literacy skills needed for statistics in later grades.

First Peoples games of chance

The BC curriculum references Dene/Kaska hand games (guessing which hand holds the marked stick) and Lahal stick games (a guessing game with sticks) as probability contexts. These traditional games encode probabilistic reasoning about opponent strategies and chance. Inviting community members to share these games connects probability to cultural practice.

KEY VOCABULARY
Experimental probabilityThe fraction of trials where an outcome occurred: 8 heads in 20 flips = 8/20.
Theoretical probabilityThe mathematically expected fraction: 1 side of 6 on a fair die = 1/6.
TrialOne run of a probability experiment: one coin flip, one die roll.