> Question: A fair die rolling a 6 twice in a row is more likely than rolling 1-2-3-4-5-6 in sequence
Two 6s in a row is 1/36 chance (1/6)^2
1-2-3-4-5-6 is a 1/46656 chance (1/6)^6
Website is claiming they are the same probability:
> Same probability: 1/46,656 — Both outcomes have exactly the same probability: (1/6)^6 = 1/46,656. This illustrates the representativeness heuristic — random-looking sequences feel more probable than ordered ones.
Website's "answer" is wrong: was the question supposed to be rolling a 6 six times in a row?
Two 6s in a row is 1/36 chance (1/6)^2
1-2-3-4-5-6 is a 1/46656 chance (1/6)^6
Website is claiming they are the same probability:
> Same probability: 1/46,656 — Both outcomes have exactly the same probability: (1/6)^6 = 1/46,656. This illustrates the representativeness heuristic — random-looking sequences feel more probable than ordered ones.
Website's "answer" is wrong: was the question supposed to be rolling a 6 six times in a row?