Answer:
The answer is D which is 330
Answer:
A is the answer Have a great day
Step-by-step explanation:
Answer:
![Probability = \frac{243}{1024}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B243%7D%7B1024%7D)
Step-by-step explanation:
Given
![Sum = \{7, 11, 12\}](https://tex.z-dn.net/?f=Sum%20%3D%20%5C%7B7%2C%2011%2C%2012%5C%7D)
![Rolls = 5](https://tex.z-dn.net/?f=Rolls%20%3D%205)
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
![Outcomes = 36](https://tex.z-dn.net/?f=Outcomes%20%3D%2036)
![Sum\ of\ 7 = 6](https://tex.z-dn.net/?f=Sum%5C%20of%5C%207%20%3D%206)
![Sum\ of\ 11 = 2](https://tex.z-dn.net/?f=Sum%5C%20of%5C%2011%20%3D%202)
![Sum\ of\ 12 = 1](https://tex.z-dn.net/?f=Sum%5C%20of%5C%2012%20%3D%201)
So, in a single roll; The probability of getting audited is:
![p= \frac{1 + 2 + 6}{36}](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7B1%20%2B%202%20%2B%206%7D%7B36%7D)
![p= \frac{9}{36}](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7B9%7D%7B36%7D)
![p= \frac{1}{4}](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7B1%7D%7B4%7D)
The probability of not getting audited in a single roll is:
--- Complement rule
![q = 1 - \frac{1}{4}](https://tex.z-dn.net/?f=q%20%3D%201%20-%20%5Cfrac%7B1%7D%7B4%7D)
Take LCM
![q = \frac{4 - 1}{4}](https://tex.z-dn.net/?f=q%20%3D%20%5Cfrac%7B4%20-%201%7D%7B4%7D)
![q = \frac{3}{4}](https://tex.z-dn.net/?f=q%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
The probability of not getting audited in 5 rolls is:
![Probability = q^5](https://tex.z-dn.net/?f=Probability%20%3D%20q%5E5)
![Probability = (\frac{3}{4})^5](https://tex.z-dn.net/?f=Probability%20%3D%20%28%5Cfrac%7B3%7D%7B4%7D%29%5E5)
![Probability = \frac{3^5}{4^5}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B3%5E5%7D%7B4%5E5%7D)
![Probability = \frac{243}{1024}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B243%7D%7B1024%7D)
Answer:idek school is very hard
Step-by-step explanation: