Question:
a standard pair of six-sided diced is rolled .what is the probability of rolling a sum greater than or equal to 7?
Solution:
First, it is important to note that the results of the two dice are independent (that is, they do not affect each other). Thus, there are 6*6=36 possible outcomes.
Next, we must determine how many successes exist, because of Probability=(number of successes)/(number of possibilities).
Create a table and find the cases where the sum is 7 or more. There are 21 of the 36 cases where the sum is 7 or more.
P(sum>=7) = 21 successes out of 36 possibilities
= 21/36
= 0.58