the table shows all the possible sums when rolling two number cubes numbered 1 - 6. what is the probability…

the table shows all the possible sums when rolling two number cubes numbered 1 - 6. what is the probability that rolling two cubes results in a sum of 8?

the table shows all the possible sums when rolling two number cubes numbered 1 - 6. what is the probability that rolling two cubes results in a sum of 8?

Answer

Explanation:

Step1: Find total number of outcomes

When rolling two number - cubes, each cube has 6 possible outcomes. So the total number of outcomes when rolling two cubes is (6\times6 = 36) (by the multiplication principle).

Step2: Find number of favorable outcomes

From the table, the pairs of numbers on the two cubes that sum to 8 are ((2,6)), ((3,5)), ((4,4)), ((5,3)), ((6,2)), so there are 5 favorable outcomes.

Step3: Calculate probability

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So (P=\frac{5}{36}).

Answer:

(\frac{5}{36})