Grade 7 Math · Statistics & Probability

Estimate probability from repeated trials

Estimate probability from repeated trials.

Practice more with MathNivoAndroid app coming soonExplore the idea here, then continue practicing in the Android app when available.

What you’ll learn

Estimate probability from repeated trials.

Key idea

Observed frequency is successes divided by trials; even all-success or all-failure finite data do not establish certain or impossible model events.

Finite observed all-success or all-failure does not prove certain or impossible model events; matched empirical frequencies do not remove uncertainty.

Worked example

Enter the exact value or ordered values in the format requested below.

A repeatable experiment records 16 successes in 40 trials. Enter its experimental probability as an exact number.

  1. The observed success fraction is 16/40=2/5.
  2. This empirical frequency estimates event chance under comparable repeated-trial conditions, not a proof of its exact model probability.

Answer: 2/5

Quick Check

Interpret the result of 'Estimate probability from repeated trials' in the data-generating context, including units and population limits.

Experiment record: 56 successes out of 80 under stable conditions. Interpret the empirical frequency without guaranteeing future outcomes.

Choose one answer

Show a hint

Count successful trials and all trials separately.