Question

Sean recorded everyone’s 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 Sean’s error

Answer 1

Answer:Sean’s error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes. The correct probability of rolling a one is 1/6.

Step-by-step explanation: sample response

Answer 2

See below. Sean is in error.

Explanation:

There are a total of 15 rolls of the cube.

If we count the number of 1's that are rolled we get 5 which is more than any other number. So the EXPERIMENTAL probability of getting a 1 is 5/15 = 1/3.

But this is NOT the THEORETICAL probability.

If we assume that it is a fair cube then the theoretical probability of a 1 is 1/6.

Each number has an equal theoretical probability of 1/6.