# Bernoulli Process PRO vs 奇蹟背單字

The clearest difference is price: 奇蹟背單字 at Free against Bernoulli Process PRO's $1.99. 奇蹟背單字 also leads on update cadence (every 5 days vs monthly). Bernoulli Process PRO's advantage is in-app purchases (none vs 3). On ads, device support and iOS requirement there is nothing between them.

奇蹟背單字 is free to download; Bernoulli Process PRO costs $1.99 up front. 奇蹟背單字 sells 3 in-app purchases, starting at $1.99 per month. Bernoulli Process PRO asks for nothing beyond the download.

Bernoulli Process PRO ships an update monthly, 奇蹟背單字 every 5 days. The most recent releases landed on September 9, 2026 and August 20, 2026 respectively.

## The numbers

| Metric | Bernoulli Process PRO | 奇蹟背單字 |
| --- | --- | --- |
| Price | $1.99 | **Free** |
| Rating | — | **[3.8 (4 ratings)](https://appshunter.io/ios/app/id6741516031/reviews)** |
| Number of ratings | — | **4** |
| Positive reviews | — | 40.0% of reviews |
| In-app purchases | **No** | Yes |
| Ads | No | No |
| Update frequency | Monthly | **Every 5 days** |
| Size | 179 MB | 47 MB |
| Requires iOS | **15.0** | 15.6 |
| Devices | iPhone, iPad, iPod | iPhone, iPad, iPod |
| Age rating | 4+ | 4+ |
| Developer | [Glindemann, Sennoun, Langer GbR](https://appshunter.io/developer/1024972809) | [ByteTechVista LTD](https://appshunter.io/developer/664410266) |

## What reviewers say

### Bernoulli Process PRO

[App page](https://appshunter.io/ios/app/bernoulli-process-pro/id6472449062)

**Features:** macOS Compatibility, Vision Pro support

**In-app purchases:** none


### 奇蹟背單字

[App page](https://appshunter.io/ios/app/id6741516031)

**Features:** macOS Compatibility, Vision Pro support

**In-app purchases (3)**

| Purchase | Price | Billing |
| --- | --- | --- |
| 背單字會員月卡 | $1.99 | per month |
| 背單字會員年卡 | $17.99 | per year |
| 終身會員 | $12.99 | one-time |


## Frequently asked questions

### Is Bernoulli Process PRO free?

Bernoulli Process PRO costs $1.99, with no in-app purchases.

### Is 奇蹟背單字 free?

奇蹟背單字 is free to download, with in-app purchases available.

### Do Bernoulli Process PRO or 奇蹟背單字 have ads?

Neither Bernoulli Process PRO nor 奇蹟背單字 shows ads.

### Which is updated more often, Bernoulli Process PRO or 奇蹟背單字?

Bernoulli Process PRO ships an update monthly, and 奇蹟背單字 every 5 days. Most recently, Bernoulli Process PRO was updated on September 9, 2026 and 奇蹟背單字 on August 20, 2026.

---

*Compared by [AppsHunter](https://appshunter.io/) from daily US App Store data. Review summaries are generated from verbatim App Store reviews.*