Earth Day Quiz 🌱️

Celebrating Earth Day 2023 🌍️

Can you ace this 15 - question quiz? Take it now and find out 😎️

The Quiz generates 15 random questions every time so you can test yourself over and over 🥸️

  
Take The Quiz! 

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Source Code is available in this repo, feel free to make your OWN quiz and share it with us 🤩️

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Some Math 🔢

Suppose you want to go over all the questions (50 questions), if you get ZERO questions repeated it would take you about 4 runs to complete it. But that's an extreme case, you will have questions repeated probably.. we could use a formula based on the expected number of runs for a given probability of repetition. This formula is derived from the Wald-Wolfowitz runs test, which is a statistical test for randomness in a sequence of binary outcomes.

The formula is:

$$N = \frac{(1 - p)p}{\epsilon^2}(\Phi^{-1}(1 + \gamma/2))^2$$

where $N$ is the number of runs, $p$ is the probability of repetition, $\epsilon$ is the desired accuracy, $\gamma$ is the confidence level, and $\Phi^{-1}$ is the inverse cumulative distribution function of the standard normal distribution.

For example, if you want to approximate the number of runs with 95% confidence and 5% accuracy, and you assume that each question has a 10% chance of being repeated, then the formula gives:

$$N = \frac{(0.9)(0.1)}{(0.05)^2}(\Phi^{-1}(0.975))^2 \approx 34.5$$

So, you would need about 35 runs to cover all the questions with these assumptions.

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