use the information to answer the question. a group is playing a game that uses two number cubes labeled 1…

use the information to answer the question. 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. possible sums 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 even and less than 9, the player moves the number spaces equal to the sum. otherwise, the player does not move. what is the probability that a player will move on a turn? round the answer to the nearest hundredth. enter the answer in the box.

use the information to answer the question. 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. possible sums 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 even and less than 9, the player moves the number spaces equal to the sum. otherwise, the player does not move. what is the probability that a player will move on a turn? round the answer to the nearest hundredth. enter the answer in the box.

Answer

Explanation:

Step1: Count total outcomes

There are 6×6 = 36 possible outcomes when rolling two number - cubes.

Step2: Identify favorable outcomes

The favorable outcomes are the sums that are even and less than 9. These sums are 2, 4, 6, and 8. For sum = 2: (1,1) - 1 way. For sum = 4: (1,3), (2,2), (3,1) - 3 ways. For sum = 6: (1,5), (2,4), (3,3), (4,2), (5,1) - 5 ways. For sum = 8: (2,6), (3,5), (4,4), (5,3), (6,2) - 5 ways. The total number of favorable outcomes is 1 + 3+5 + 5=14.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the number of total outcomes. So $P=\frac{14}{36}\approx0.39$.

Answer:

0.39