Answer:

Step-by-step explanation:
Given


Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum




So, in a single roll; The probability of getting audited is:



The probability of not getting audited in a single roll is:
--- Complement rule

Take LCM


The probability of not getting audited in 5 rolls is:




<span>fourth degree polynomial with three terms
the degree is the highest exponent the term are separated by plus or minus </span>
7+10x-2x-2=-3
—-Combine like terms...10x-2x=8x and 7-2=5
8x+5=-3
——subtract 5 on both sides.. the 5’s will cancel each other and -3-5=-8
8x=-8
——Divide 8 on both sides...the 8’s will cancel out and -8 divided by 8 = -1
Answer: x = -1