Elizabeth has two identical number cubes both cubes have faces number one through six if Elizabeth rows each cube once what is the probability that the sum of the two numbers on the top face will be 10
There are a total of 36 possible outcomes when rolling two number cubes, as there are 6 possible outcomes for each cube and 6 x 6 = 36.
To get a sum of 10, Elizabeth needs one cube to show either a 4 or a 5 (since the other cube would then need to show a 6 or a 5, respectively). There are two ways to roll a 4 (1-3 or 2-2) and two ways to roll a 5 (1-4 or 2-3), for a total of 4 possible outcomes that result in a sum of 10.
Therefore, the probability of rolling a sum of 10 is 4/36, which simplifies to 1/9.