2 cubes whose faces are numbered 1 through 6 are tossed. what is the probability that both cubes show the same number?

1 36
2 6/36
3 1/36
4 5/6

is it 6/36

There is a probability of 1/6 that the second die will be the same as the first die.

1/6

To find the probability that both cubes show the same number, we need to determine the number of favorable outcomes (both cubes showing the same number) and the total number of possible outcomes.

To calculate the possible outcomes, we need to determine the total number of outcomes for each cube and multiply them together.

For one cube, there are 6 possible outcomes since there are 6 numbers on its faces. The second cube also has 6 possible outcomes.

So, the total number of possible outcomes is 6 x 6 = 36.

Now, let's determine the number of favorable outcomes, which are the outcomes where both cubes show the same number. To do this, we need to count the number of times two cubes show the same number.

Since each cube has 6 numbers on its faces, the favorable outcomes would be if both cubes show the same number, which can happen in 6 different cases (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).

So, the number of favorable outcomes is 6.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 6 / 36
Probability = 1/6

Therefore, the probability that both cubes show the same number is 1/6.