Question

Two​ 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be 44​

Answer 1

The probability that the sum of two numbers on a pair of 6-sided dice will be 44 is 0 because the highest possible sum is 12, making a sum of 44 impossible.

Step-by-step explanation:

The student asked about the probability that the sum of the two numbers on a pair of 6-sided dice will be 44. This is a probability question related to the outcomes of rolling dice. However, since each die can only show numbers 1 through 6, the maximum sum that can be obtained is 12 (when both dice show a 6). Thus, the probability of obtaining a sum of 44 is 0, because it is impossible to reach that value with two 6-sided dice.

When conducting probability experiments with dice, the sample space for rolling two 6-sided dice consists of 36 outcomes (6 outcomes for the first die multiplied by 6 outcomes for the second die). Each possible outcome has a sum ranging from 2 to 12. None of these sums equal 44, so the probability of such an event is nonexistent.

Answer 2

There are a total of 6*6 = 36 possible number combinations rolling two dice.

How many of those numbers add to 4?
1 and 3
2 and 2
3 and 1

so there are 3/36 possible combinations that will yield 4
So we have 1/12

Hope this helps
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