Interactive Learning Platform

Probability Lab

Where abstract statistics becomes tangible understanding through interactive exploration and visual discovery

Our Story

Built by Learners & Educators, For Students

We've experienced both sides of the classroom—Hanan as a mathematics & statistics student turned AI engineer, and Patrick as a professor of mathematics and statistics. We saw firsthand how abstract formulas can feel disconnected from real understanding.

Interactive, visual explorations changed how we learned and taught. That insight shaped Probability Lab: hands-on activities that turn confusion into clarity.

We built the resource we wished we had when we started learning statistics.

Interactive Tools

Hands-on visual explorers that make ideas stick.

Visual First

See distributions and ideas evolve in real time.

Immediate Feedback

Learn faster with results and corrections on the spot.

Instructor‑Approved

Crafted and reviewed by university educators.

Exam‑Ready Notes

Clear summaries that bridge concepts to problems.

Our Team

The creators behind Probability Lab. We keep it precise, rigorous, and student‑focused.

Hanan Ather headshot

Hanan Ather

hananather.com

AI Engineer at the Center of Artificial Intelligence Research and Excellence (CAIRE), Statistics Canada, translating advanced research into practical systems for federal agencies. Holds an M.Sc. in Mathematics & Statistics from the University of Ottawa, with research in deep reinforcement learning and function optimization.

Patrick Boily headshot

Patrick Boily

idlewyldanalytics.com

Assistant Professor, Department of Mathematics & Statistics, University of Ottawa. Ph.D. in Mathematics (2006) and author of several textbooks in mathematics, statistics, and data science. Work spans academia, public service, and applied analytics; led Carleton University's CQADS, co-founded the Data Action Lab, and consulted for organizations including PHAC, CATSA, and DND. Expertise includes operations research, predictive analytics, stochastic modelling, and simulation.

Our Approach

A New Way to Learn Statistics

Traditional education relies on passive consumption. We believe in active construction of knowledge through exploration, experimentation, and immediate feedback.

Visual First

Abstract concepts become concrete through interactive visualizations. See probability distributions change in real-time as you adjust parameters.

Learn by Doing

No passive watching. Every concept includes hands-on activities where you manipulate variables and observe outcomes immediately.

Build Intuition

Move beyond memorization. Our approach helps you develop deep intuition for why formulas work, not just how to use them.

Focused Practice

Targeted exercises that adapt to your understanding. Get more practice where you need it, move quickly through concepts you've mastered.

Why This Approach Works

Research-backed methods that transform how you understand probability

Multiple Representations

Visual, numerical, and symbolic views of every concept

Immediate Feedback

Learn from mistakes instantly with real-time results

Self-Paced Learning

Go as fast or slow as you need, review anytime

Interactive Simulations

Run thousands of experiments with a single click

Layered Complexity

Start simple, add complexity as understanding grows

Guided Exploration

Structured activities that encourage discovery

Our Mission

To make probability and statistics accessible, engaging, and deeply understood by every student. We believe that with the right tools, anyone can master these fundamental concepts that shape our understanding of the world.