Question

What is the probability that when selecting 7 non-negative integers that are less than 50, their sum will be equal to 33?

Answer 1

To find the probability of selecting 7 non-negative integers less than 50 with a sum of 33, we use combinations. The probability is 0.163.

Step-by-step explanation:

To find the probability that when selecting 7 non-negative integers less than 50, their sum will be equal to 33, we can use the concept of combinations.

The total number of possible selections is C(49, 7) since there are 49 choices and we need to select 7 integers.

There are C(42, 6) selections that can result in a sum of 33. Thus, the probability is C(42, 6) / C(49, 7) = 0.163.