Question

sean recorded everyones number - cube rolls during the game. 1,6,2,1,5,4,2,2,1,4,5,1,3,4,1 he stated that the theoretical probability of rolling a 1 is greater than rolling any other number. explain seans error.

Explanation:

Theoretical probability for a fair number - cube (dice) is based on the number of favorable outcomes over total outcomes. A standard number - cube has 6 sides numbered 1 - 6. Each number has 1 favorable outcome out of 6 total outcomes. So, the theoretical probability of rolling any single number (1, 2, 3, 4, 5, or 6) is $\frac{1}{6}$. Sean confused experimental frequency (the number of times 1 was rolled in the game) with theoretical probability.

Answer:

Sean confused experimental frequency with theoretical probability. For a fair number - cube, the theoretical probability of rolling a 1 is the same as rolling any other number, which is $\frac{1}{6}$, because each number has 1 favorable outcome out of 6 total possible outcomes.