Question

Suppose you roll two number cubes and find the probability distribution for the sum of the numbers. Which two sums have the same probability distribution and would be represented with equal bars on a bar

graph?
4 and 11
2 and 12
6 and 9
5 and 10

Answer 1

2 and 12

Explanation:

we have 2 number cubes (dice) and try to roll specific numbers as the sum of both cubes.

4 can be achieved by rolling

1 3

2 2

3 1

so, 3 out of 36 possible combinations.

11 can be achieved by

5 6

6 5

so, 2 out of 36 possible combinations.

so, no, they do not have the save probabilty distribution, and would not have equal bars.

2 can be achieved by

1 1

so, 1 out of 36 possible combinations.

12 can be achieved by

6 6

so, 1 out of 36 possible combinations.

yes, they have the same probability distribution and would have equal bars.

6 can be achieved by

1 5

2 4

3 3

4 2

5 1

so, 5 out of 36 possible combinations.

9 can be achieved by

3 6

4 5

5 4

6 3

so, 4 out of 36 possible combinations.

so, no, they do not have the save probabilty distribution, and would not have equal bars.

5 can be achieved by

1 4

2 3

3 2

4 1

so, 4 out of 36 possible outcomes.

10 can be achieved by

4 6

5 5

6 4

so, 3 out of 36 possible outcomes.

so, no, they do not have the save probabilty distribution, and would not have equal bars.