A group is playing a game that uses two number cubes labeled 1 to 6. A player rolls the number cubes and finds the sum of the numbers rolled. The set of all possible outcomes is shown in the table.
The possible outcomes: 2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12.
If the sum is greater than 7, the player moves the number of spares equal to the sum. Otherwise the player does not move. What is the probability that a player will move on a turn? Round your answer to the nearest hundredth. Enter the answer in the box.
To find the probability that a player will move on a turn, we need to determine the number of outcomes where the sum is greater than 7 and divide it by the total number of possible outcomes.
There are 6 outcomes where the sum is 8: (2,6), (3,5), (4,4), (5,3), (6,2), (6,2).
There are 5 outcomes where the sum is 9: (3,6), (4,5), (5,4), (6,3), (6,4).
There are 4 outcomes where the sum is 10: (4,6), (5,5), (6,4), (6,5).
There are 3 outcomes where the sum is 11: (5,6), (6,6).
There is 1 outcome where the sum is 12: (6,6).
Adding up all these outcomes, we get 6+5+4+3+1 = 19.
The total number of possible outcomes is 36 as there are 6 outcomes for each of the 6 possible rolls on the two number cubes.
Therefore, the probability that a player will move on a turn is 19/36. Rounding to the nearest hundredth, this is approximately 0.53.
Answer: \boxed{0.53}.