An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Find the probability of the sum of the dots indicated. A sum less than 8

7/12

Step-by-step explanation:

Probability is a ratio defined by the number of possible outcome to the number of total outcome. The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.

The probability that an event a will happen or that another independent event  b will happen is the sum of the probability that a will happen to the probability that b will happen.

For the 2 dies, the outcomes possible when rolled are as shown below  

O   1     2     3    4    5     6

1    2    3     4     5    6    7

2   3    4     5    6    7     8

3   4    5    6    7      8    9

4   5    6    7     8    9    10

5   6     7   8    9    10    11

6   7    8    9    10    11    12    

From the table, there are 36 possible outcomes but only 21 outcomes are less than 8 hence the probability required

= 21/36

= 7/12      

B is correct

Step-by-step explanation:

We are given two function f(x) and g(x). We need to calculate (f-g)(x)

Using Distributive property (-2x-2)

Combine like terms (-4-2=-6)

Thus, (f-g)(x)=6x³-2x-6.