If two dice are rolled, what is the probability that the sum of the dots on the upward faces is 15?
normal cubic dice only go up to 12 ... so ... ?
To find the probability of rolling a sum of 15 with two dice, we first need to determine the total number of possible outcomes.
Each die has six possible outcomes (numbers 1 through 6), so the total number of outcomes when two dice are rolled is 6 * 6 = 36.
Next, we need to identify the number of outcomes where the sum of the dots on the upward faces is 15.
The possible combinations to get a sum of 15 are:
- (9, 6)
- (8, 7)
- (7, 8)
- (6, 9)
Thus, there are 4 possible outcomes where the sum of the dots on the upward faces is 15.
Therefore, the probability of rolling a sum of 15 with two dice is 4 / 36, which simplifies to 1 / 9 or approximately 0.1111.
To find the probability of rolling a sum of 15 with two dice, we need to determine how many ways this outcome can occur and divide it by the total number of possible outcomes when rolling two dice.
First, let's determine the number of ways the sum of 15 can be obtained. We need to consider all possible combinations of the numbers on the two dice that add up to 15. Here are the possible combinations:
- (6, 9)
- (9, 6)
Therefore, there are 2 ways to obtain a sum of 15.
Now, let's find the total number of possible outcomes when rolling two dice. Each die has 6 possible outcomes (from 1 to 6), so the total number of outcomes for two dice is 6 * 6 = 36.
Now we can calculate the probability of rolling a sum of 15. The probability is always given by the number of favorable outcomes divided by the total number of outcomes:
Probability = Number of favorable outcomes / Total number of outcomes
Plugging in the values, we have:
Probability = 2 / 36
Simplifying this fraction, we get:
Probability = 1 / 18
Therefore, the probability of rolling a sum of 15 with two dice is 1/18.