What is the probability of getting either a 12 or a 2 when tossing two dice?

What is the probability of getting either a 12 or a 2 when tossing two dice?

• A. 1 in 6
• B. 1 in 9
• C. 1 in 12
• D. 1 in 18

Answer: (D)

To determine the probability of rolling a total of either 12 or 2 with two dice, we first analyze the possible outcomes. When rolling two six-sided dice, the smallest possible sum is 2, which occurs only when both dice show a 1 (1 + 1 = 2). Therefore, there is 1 combination that results in a total of 2. On the other hand, the highest possible sum is 12, which occurs only when both dice show a 6 (6 + 6 = 12). Similarly, there is also 1 combination that results in a total of 12. Since these two outcomes (summing to 2 and summing to 12) are mutually exclusive, we can simply add the number of successful outcomes together. Thus, there are 1 (for a sum of 2) + 1 (for a sum of 12) = 2 successful outcomes. Next, we calculate the total number of outcomes when rolling two dice. Each die has 6 faces, leading to a total of 6 x 6 = 36 possible combinations when two dice are rolled. To find the probability of rolling either a 12 or a 2, we divide the number of

To determine the probability of rolling a total of either 12 or 2 with two dice, we first analyze the possible outcomes.

When rolling two six-sided dice, the smallest possible sum is 2, which occurs only when both dice show a 1 (1 + 1 = 2). Therefore, there is 1 combination that results in a total of 2.

On the other hand, the highest possible sum is 12, which occurs only when both dice show a 6 (6 + 6 = 12). Similarly, there is also 1 combination that results in a total of 12.

Since these two outcomes (summing to 2 and summing to 12) are mutually exclusive, we can simply add the number of successful outcomes together. Thus, there are 1 (for a sum of 2) + 1 (for a sum of 12) = 2 successful outcomes.

Next, we calculate the total number of outcomes when rolling two dice. Each die has 6 faces, leading to a total of 6 x 6 = 36 possible combinations when two dice are rolled.

To find the probability of rolling either a 12 or a 2, we divide the number of