Probability quiz

More questions about Probability

These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.

1. 1 Easy

   What distribution is nicknamed the bell curve?

   Answer: Normal distribution

   Why: Add up many small independent random effects and the total tends toward this bell shape, a result called the central limit theorem.

2. 2 Medium

   About what share of numbers in many real-world data sets start with 1?

   Answer: About 30%

   Why: The pattern runs downhill digit by digit, and under Benford's law a leading 9 turns up only about 4.6% of the time.

3. 3 Hard

   How likely is at least one 6 in six rolls of a fair die?

   Answer: About 67%

   Why: Adding 1/6 six times double-counts rolls with several 6s; the right way is 1 minus the roughly 33% chance of no 6 at all.

4. 4 Easy

   Which term means events don't affect each other's chances?

   Answer: independent

   Why: Mutually exclusive events are the opposite case: if one happens, the other's chance drops to zero, so they depend on each other.

5. 5 Medium

   Which number is closest to how many ways 52 cards can be ordered?

   Answer: $8 \times 10^{67}$

   Why: That number is so vast that a well-shuffled deck is almost certainly in an order no deck has ever been in before.

6. 6 Hard

   What number can you estimate by dropping needles on lined paper?

   Answer: $\pi$

   Why: When each needle is exactly as long as the gap between lines, it crosses a line with probability $\frac{2}{\pi}$, about 64%.