Answer:
3
Step-by-step explanation:
write them out least to greatest- 1 2 3 4 5
then mark out one at a time from front and back- 1 2 3 4 5
then you get one number and that number is 3
Answer:
![P[at\ least\ 1] = 0.9961](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%200.9961)
Step-by-step explanation:
Given


Required
Probability that s/he gets at least one correctly
First, we calculate the probability of answering a question correctly
Since, there are just 2 choices (true or false), the probability is:

Similarly, the probability of answering a question, wrongly is:

The following relationship exists, in probability:
![P[at\ least\ 1] = 1 - P[none]](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20P%5Bnone%5D)
So, to calculate the required probability.
First, we calculate the probability that he answers none of the 8 questions correctly.
![P[none] = p(wrong)^8](https://tex.z-dn.net/?f=P%5Bnone%5D%20%3D%20p%28wrong%29%5E8)
![P[none] = (\frac{1}{2})^8](https://tex.z-dn.net/?f=P%5Bnone%5D%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E8)
Substitute
in ![P[at\ least\ 1] = 1 - P[none]](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20P%5Bnone%5D)
![P[at\ least\ 1] = 1 - (\frac{1}{2})^8](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E8)
![P[at\ least\ 1] = 1 - \frac{1}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20%5Cfrac%7B1%7D%7B256%7D)
Take LCM
![P[at\ least\ 1] = \frac{256 - 1}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%20%5Cfrac%7B256%20-%201%7D%7B256%7D)
![P[at\ least\ 1] = \frac{255}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%20%5Cfrac%7B255%7D%7B256%7D)
![P[at\ least\ 1] = 0.9961](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%200.9961)
<em></em>
<em>Hence, the probability that s/he gets at least one correctly is 0.9961</em>
Answer:
I think it's 56.4
Step-by-step explanation:
if not I'm sorry
Volume of the pool will be defined as V = πr²h
V = π(15)²(70)
V = 15750π ≈ 49480 cubic feet of water.. or about 370, 136.1296 gallons
1 cubic ft is equal to 7.48052 gallons
Answer:
13.8%
Step-by-step explanation:
I have created a table that shows all of the possibilities that two die's can roll when summed up. If we count all of these possibilities we can see that there are a total of 36 outcomes. From all of these outcomes we can also see that only 4 outcomes sum up to be a total of 5. Therefore, we have to divide the number of times 5 is a possibility by the total number of outcomes to get the probability of actually getting a sum of 5.
5 / 36 = 0.138 ... multiply by 100 to get percentage
0.138 * 100 = 13.8%