Question

In a game, a player rolls two number cubes with sides numbered 1 through 6. All possible rolls are shown in the table. the outcome 1 comma 1 the outcome 1 comma 2 the outcome 1 comma 3 the outcome 1 comma 4 the outcome 1 comma 5 the outcome 1 comma 6 the outcome 2 comma 1 the outcome 2 comma 2 the outcome 2 comma 3 the outcome 2 comma 4 the outcome 2 comma 5 the outcome 2 comma 6 the outcome 3 comma 1 the outcome 3 comma 2 the outcome 3 comma 3 the outcome 3 comma 4 the outcome 3 comma 5 the outcome 3 comma 6 the outcome 4 comma 1 the outcome 4 comma 2 the outcome 4 comma 3 the outcome 4 comma 4 the outcome 4 comma 5 the outcome 4 comma 6 the outcome 5 comma 1 the outcome 5 comma 2 the outcome 5 comma 3 the outcome 5 comma 4 the outcome 5 comma 5 the outcome 5 comma 6 the outcome 6 comma 1 the outcome 6 comma 2 the outcome 6 comma 3 the outcome 6 comma 4 the outcome 6 comma 5 the outcome 6 comma 6 If the sum of the numbers is greater than 8, the player moves the number of spaces equal to the sum. Otherwise, the player does not move. Question What is the probability that a player will move on a turn?

Answer 1

To find the probability that a player will move on a turn, we need to determine the number of favorable outcomes (rolls with a sum greater than 8) and divide it by the total number of possible outcomes.

Step-by-step explanation:

To find the probability that a player will move on a turn, we need to determine the number of favorable outcomes (rolls with a sum greater than 8) and divide it by the total number of possible outcomes. There are 5 favorable outcomes: (3,6), (4,5), (4,6), (5,4), (5,5). There are 36 total outcomes (6 possible outcomes for the first roll and 6 possible outcomes for the second roll). Therefore, the probability that a player will move on a turn is 5/36 or 0.1389 (rounded to four decimal places).