Question

When two balanced dice are rolled simultaneously, the probability of getting the sum of numbers on dice as 9 is _____.​

Answer 1

Answer:

1/9

Step-by-step explanation:

When you roll a single die, there are 6 possible outcomes. When you roll 2 dice, however, there are 36 possible outcomes because if one die has 1 on it, the other can have 6 possible outcomes. This is the same for the numbers 2 to 6 so in the end we have 6x6=36 different outcomes with 2 dice

Now we must find out how many outcomes will result in a sum of 9. There are only 4, and these are [3, 6], [4, 5], [5, 4], and [6, 3]. The [3, 6] notation means one die rolls a 3 and the other rolls a 6. We got these pairs because when one die rolls a higher number, the other must roll a lower number in order to have the same result.

Now, we know there are 4 different ways to get 9 out of the 36 possible outcomes, so the chance is 4/36, or 1/9

Answer 2

Answer:

When two balanced dice are rolled simultaneously, the probability of getting the sum of numbers on dice as 9 is 1/9.

Step-by-step explanation:

When you roll a single die, there are 6 possible outcomes. When you roll 2 dice, however, there are 36 possible outcomes because if one die has 1 on it, the other can have 6 possible outcomes.

This is the same for the numbers 2 to 6 so in the end, we have 6x6=36 different outcomes with 2 dice

Now we must find out how many outcomes will result in a sum of 9. There are only 4, and these are [3, 6], [4, 5], [5, 4], and [6, 3]. The [3, 6] notation means one die rolls a 3 and the other rolls a 6.

We got these pairs because when one die rolls a higher number, the other must roll a lower number in order to have the same result.

Now, we know there are 4 different ways to get 9 out of the 36 possible outcomes, so the chance is 4/36, or 1/9

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