Randomness Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyA student says 'I picked lottery numbers 1,2,3,4,5,6 — these can't win because they're not random.' Evaluate this claim.
Solution
- 1 In a fair lottery, every combination is equally likely regardless of pattern
- 2
- 3 The claim is false — randomness does not exclude 'patterned-looking' sequences; they are equally probable
Answer
False. Every combination has equal probability; patterned sequences are just as likely as any other specific set.
Randomness means each outcome has the specified probability, regardless of whether it appears patterned. Consecutive numbers have exactly the same probability as any other combination in a fair lottery.
About Randomness
Randomness is the quality of having no predictable pattern at the individual level, yet following precise probability rules over many repetitions — outcomes are uncertain one at a time but statistically regular in the long run.
Learn more about Randomness →More Randomness Examples
Example 1 easy
A coin is flipped 10 times and lands heads every time. A student says 'the next flip must be tails.'
Example 2 mediumA random number generator produces: 3, 7, 1, 9, 2, 8, 5, 4, 6, 10 (each number 1-10 equally likely).
Example 4 hardDesign a procedure to randomly assign 20 students into two groups of 10 for an experiment, using a r