Comparison

Probability Toolkit vs Bernoulli Trial

Price, ratings, monetisation and update history for both apps, side by side — with what reviewers say about each.

Head to head
About

Probability Toolkit

Features
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The Probability Toolkit provides teachers and students with a collection of virtual mathematical devices to simulate probability experiments. The experiments use popular math manipulatives to help students better understand probability theory and statistics. It is perfect for elementary and middle school classrooms. Enrich your mathematics curriculum with the Probability Toolkit. Probability Devices: • Coin Toss Experiment • Gumball Machine Experiment • Dice Roll Experiment • Random Numbers Experiment • Spinners Experiment • Binomial Machine Experiment Learning about probability can be fun for students. Probability plays a role in many of the games that students enjoy playing. Probability Toolkit goes beyond simple game playing and presents students with an interactive tool that encourages the developing of an understanding of probability theory and statistics. By controlling and observing simulated experiments involving different devices, students learn increasing the number of events and also summing events across trials improves the likelihood that an experimental probability will be close to a theoretical probability for a specific experiment. Math educators have recognized the importance of emphasizing learning activities dealing with data and chance. This emphasis represents a departure from a mathematics curriculum that only emphasizes memorization of facts. Today the role of data and chance in school mathematics in changing in terms of it importance and also the extent to which these concepts relate to other subject areas. People have a natural approach to understanding the role of data and chance in terms of their everyday lives. This informal understanding becomes the basis for specific explorations which are designed to enhnace the mathematical ability of students to formally analyze situations involving probabilities. The approach taken in the design of this app involves the implementation of instructional strategies which focus on important themes: Data Collection - Students conduct experiments and make observations, then record the results in a tabular form. Communication - Through small group instructional approaches students learn to discuss mathematical concepts related to probability. Graphs, for example, are one way in which students learn how to describe mathematical events. Problem Solving - The role that an understanding of probability plays in enhancing problem solving skills cannot be emphasized enough. Several investigations involve problem solving where probability theory is used to evaluate the reasonableness of an answer.

About

Bernoulli Trial

Instantly solve math homework and prepare for exams with step-by-step solutions. Calculate probabilities, expected values, variance, and standard deviation for Bernoulli trials. Includes histograms, distribution functions, and learning videos.

Highlights
  • Step-by-step math solutions
  • Bernoulli trial probability calculation
  • Expected value, variance, standard deviation
  • Histogram and distribution function
  • Curated learning videos
  • Feedback on incorrect inputs
Features
Read full description

Get your homework done instantly. Prepare for exams stress-free. Free, complete step-by-step solutions. Calculate the probability of success or failure of a Bernoulli trial (e.g. urn problem). Get expected value, variance, and standard deviation, as well as a histogram and distribution function. HOW IT WORKS Enter your values in the correct fields and get started. You’ll receive the solution instantly and can share it with friends or classmates. YOUR PERSONAL DATA We don’t need it. Only anonymized data is collected, for example: - which features are used - how many solutions are generated This helps us improve. No conclusions can be drawn about you. COSTS Everything is free to use. 24/7 access to your solutions. All solution steps are always fully available. If you need many solutions in a short time, various purchase options are available. EXTRAS - Histogram & distribution function - Curated learning videos - Feedback on incorrect inputs - Manage your own solutions - App introduction CONTACT Questions and feedback via Discord or directly in the app review.

Screenshots

Bernoulli Trial4 screens

Verdict

The call

The clearest difference is price: Bernoulli Trial at Free against Probability Toolkit's $1.99. Bernoulli Trial also leads on update cadence (every 3 weeks vs every 10 months) and device support (3 vs 1). Probability Toolkit's advantage is in-app purchases (none vs 8) and iOS requirement (12.0 vs 15.0). On ads there is nothing between them.

Scored on Price · Rating · Positive reviews · Number of ratings · Update frequency · Ads · In-app purchases · Monetization · Best chart rank · Devices · Requires iOS

CostPrice · In-app purchases · Ads · Monetization

Bernoulli Trial is free to download; Probability Toolkit costs $1.99 up front. Bernoulli Trial sells 8 one-off in-app purchases. Probability Toolkit asks for nothing beyond the download.

UpkeepUpdate frequency

Probability Toolkit ships an update every 10 months, Bernoulli Trial every 3 weeks. The most recent releases landed on October 19, 2026 and October 2, 2026 respectively.

Scorecard5 real differences · 4 level
Probability Toolkit versus Bernoulli Trial: the parameters behind the verdict, then further details
ParameterProbability ToolkitBernoulli Trial
Price$1.99Free — better
Rating—5.0 (1 ratings) — better
Number of ratings—1 — better
Update frequencyEvery 10 monthsEvery 3 weeks — better
AdsNoNo
In-app purchasesNo — betterYes
Monetization—Free with in-app purchases
DevicesiPadiPhone, iPad, iPod — better
Requires iOS12.0 — better15.0
Further details — not scored
Size41 MB180 MB
Age rating4+4+
DeveloperVentura Educational SystemsGlindemann, Sennoun, Langer GbR

In-app purchases

None

Probability Toolkit

No in-app purchases

8 purchases

Bernoulli Trial

One-time8
  • +30 User Tokens$0.29
  • +1 Convenience Token / 6h, max. +2$0.59
  • +150 User Tokens$0.99
Show 5 more
  • +2 Convenience Tokens / 6h, max. +4$0.99
  • +300 User Tokens$1.49
  • +4 Convenience Tokens / 6h, max. +8$1.59
  • Lifetime Access$1.99
  • Remove Ads$1.99

Questions

Is Probability Toolkit free?
Probability Toolkit costs $1.99, with no in-app purchases.
Is Bernoulli Trial free?
Bernoulli Trial is free to download, with in-app purchases available.
Do Probability Toolkit or Bernoulli Trial have ads?
Neither Probability Toolkit nor Bernoulli Trial shows ads.
Which is updated more often, Probability Toolkit or Bernoulli Trial?
Probability Toolkit ships an update every 10 months, and Bernoulli Trial every 3 weeks. Most recently, Probability Toolkit was updated on October 19, 2026 and Bernoulli Trial on October 2, 2026.

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