Question

anna rolled a pair of number cubes what is the probability of getting even number on both sides PLSSS HELP ME

Answer 1

There are 6 possible outcomes for each roll of a number cube, and since Anna rolled a pair of number cubes, there are 6 x 6 = 36 possible outcomes in total.

If she wants to get an even number on both sides, the possible outcomes are (2,2), (2,4), (2,6), (4,2), (4,4), (4,6), (6,2), (6,4), and (6,6).

So there are 9 possible outcomes that result in an even number on both sides.

Therefore, the probability of getting an even number on both sides is 9/36, which can be simplified to 1/4 or 25%.

Answer 2

It is best to draw a table of outcomes and list all the possible outcomes when you roll a pair of numbered cubes. As follows:

1 2 3 4 5 6

1 ( 1 , 1 ) ( 1 , 2 ) ( 1 , 3 ) ( 1 , 4 ) ( 1 , 5 ) ( 1 , 6 )

2 ( 2 , 1 ) ( 2, 2 ) ( 2 , 3 ) ( 2 , 4 ) ( 2 , 5 ) ( 2 , 6 )

3 ( 3 , 1 ) ( 3 , 2 ) ( 3 , 3 ) ( 3 , 4 ) ( 3 , 5 ) ( 3 , 6 )

4 ( 4 , 1 ) ( 4 , 2 ) ( 4 , 3 ) ( 4 , 4 ) ( 4 , 5 ) ( 4 , 6 )

5 ( 5 , 1 ) ( 5 , 2 ) ( 5 , 3 ) ( 5 , 4 ) ( 5 , 5 ) ( 5 , 6 )

6 ( 6 , 1 ) ( 6 , 2 ) ( 6 , 3 ) ( 6 , 4 ) ( 6 , 5 ) ( 6 , 6 )

- Each cube has 6 faces, Hence, 6 numbers for each are expressed as row and column for first and second cube respectively.

- Now locate and highlight all the even pairs shown in bold.

- The total number of even pairs outcomes are = 9.

- The total possibilities are = 36.

- The probability of getting even pairs as favorable outcome can be expressed as:

P ( Even pairs ) = Favorable outcomes / Total outcomes

P ( Even pairs ) = 9 / 36

P ( Even pairs ) = 1 / 4.

- So the probability of getting an even pair when a pair of number cubes are rolled is 1/4