if you have two spinners,the first spinnerr has three sections: -1,-5,-6.the second spinner also has three sections:-5,4,8.if you spin both spinners and ADD the two numbers,what is the probability that the sum will be negative?

Make a table of outcomes, S=sum:

(Sorry, I have not found a way to line up the columns).

S -1 -5 -6
-5 -6 -10 -11
4 3 -1 -2
8 7 3 2

Out of the 9 outcomes, how many are negative? Hence deduce the probability.

5/9

To find the probability that the sum of the two numbers will be negative, we first need to determine all the possible combinations of numbers that result in a negative sum.

Let's consider the first spinner with three sections: -1, -5, and -6. And the second spinner with three sections: -5, 4, and 8.

We can calculate the probability by dividing the number of favorable outcomes (negative sum) by the total number of possible outcomes.

First, let's calculate the total number of possible outcomes. Since we have two spinners with three sections each, the total number of possible outcomes is 3 x 3 = 9.

Now, we need to determine the combinations that result in a negative sum:
-1 (from the first spinner) and -5 (from the second spinner) give a sum of -6.
-1 (from the first spinner) and -6 (from the second spinner) give a sum of -7.
-5 (from the first spinner) and -6 (from the second spinner) give a sum of -11.

So, there are 3 combinations that result in a negative sum.

Therefore, the probability of getting a negative sum when adding the two numbers is 3/9, or simplified, 1/3, which is approximately 0.3333 (33.33%).

To calculate this probability manually, count the number of favorable outcomes (combinations resulting in a negative sum) and divide it by the total number of possible outcomes.