Dennis will roll two number cubes once. Each cube is labeled 1 to 6. What is the probability that the sum of the cubes will be an odd number?
Yes, there are 36 outcomes.
Make a chart using rows and columns from 1 - 6
Fill in the sums, you will find that 18 will be even and 18 will be odd
So prob(sum is odd) = 18/36 = 1/4
Wait... 18/36 should be equal to 1/2 instead of 1/4, right? ; )
There's 36 possible outcomes, right? I got the answer of 1/4 by actually rolling the die...but I am unsure how to do the calculations.
Thanks!
daniel rolls two cubes 36 times. how many times should he expect to roll a 4?
To find the probability that the sum of the two number cubes will be an odd number, we need to determine the total number of outcomes where the sum is odd and divide it by the total number of possible outcomes.
First, let's identify the possible outcomes for rolling two number cubes. Each cube has six faces labeled with numbers from 1 to 6.
The possible outcomes for rolling two number cubes can be represented by all the pairs of numbers we can obtain. We can create a table to represent this:
Cube 1: 1 2 3 4 5 6
Cube 2: 1 2 3 4 5 6
By adding the numbers from the rows and columns of this table, we get the 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
Now let's identify the outcomes where the sum of the numbers rolled is odd. From the table above, we can see that the sums 3, 5, 7, 9, 11 are odd.
So, there are 5 possible outcomes where the sum is odd.
Next, we need to determine the total number of possible outcomes. Since each number cube has 6 faces, there are 6 possible outcomes for each cube, resulting in a total of 6 x 6 = 36 possible outcomes when rolling two number cubes.
Therefore, the probability of getting an odd sum is the number of favorable outcomes (5) divided by the number of possible outcomes (36):
Probability = 5/36
Hence, the probability that the sum of the number cubes will be an odd number is 5/36.