# Give an example of an event that is more likely than rolling a sum of 8

Question
Factors and multiples
Give an example of an event that is more likely than rolling a sum of 8

2020-11-15
The outcomes for each number cube are 1, 2, 3, 4, 5, and 6 so the smallest possible sum for two number cubes is 1+1=2 and the largest possible sum is 6+6=12.
The outcomes for rolling a sum of 8 are 2+62+6, 6+26+2, 3+53+5, 5+35+3, and 4+4. There are then 5 possible outcomes for rolling a sum of 8.
If an event has more than 5 possible outcomes, it would then be more likely than rolling a sum of 8.
The smaller the sum is (such as a sum of 3 or 4) or the larger the sum is (such as a sum of 10 or 11), the fewer possible outcomes there are.
The sum with the largest number of possible outcomes is then the sum halfway between the smallest sum of 2 and the largest sum of 12, which is (2+12)/2=14/2=7
The possible outcomes for a sum of 7 are 1+6, 6+1, 2+5, 5+2, 3+4, and 4+3 so there are 6 possible outcomes for a sum of 7. There are then more possible outcomes for a sum of 7 than there are for a sum of 8.
An event that is more likely than rolling a sum of 8 is then rolling a sum of 7.

### Relevant Questions

An eighth-grade class rolls a number cube with faces labeled 1 through 6. The results of 50 rolls are recorded in the table below. Find the relative frequency that a number less than 4 is rolled.
Outcome 11 22 33 44 55 66 Frequency 66 44 88 1212 1010 1010 A number less than 4 was rolled □□ times. The number cube was rolled □□ times. The relative frequency of rolling a number less than 4 is □%.
The table below shows the number of people for three different race groups who were shot by police that were either armed or unarmed. These values are very close to the exact numbers. They have been changed slightly for each student to get a unique problem.
Suspect was Armed:
Black - 543
White - 1176
Hispanic - 378
Total - 2097
Suspect was unarmed:
Black - 60
White - 67
Hispanic - 38
Total - 165
Total:
Black - 603
White - 1243
Hispanic - 416
Total - 2262
Give your answer as a decimal to at least three decimal places.
a) What percent are Black?
b) What percent are Unarmed?
c) In order for two variables to be Independent of each other, the P $$(A and B) = P(A) \cdot P(B) P(A and B) = P(A) \cdot P(B).$$
This just means that the percentage of times that both things happen equals the individual percentages multiplied together (Only if they are Independent of each other).
Therefore, if a person's race is independent of whether they were killed being unarmed then the percentage of black people that are killed while being unarmed should equal the percentage of blacks times the percentage of Unarmed. Let's check this. Multiply your answer to part a (percentage of blacks) by your answer to part b (percentage of unarmed).
Remember, the previous answer is only correct if the variables are Independent.
d) Now let's get the real percent that are Black and Unarmed by using the table?
If answer c is "significantly different" than answer d, then that means that there could be a different percentage of unarmed people being shot based on race. We will check this out later in the course.
Let's compare the percentage of unarmed shot for each race.
e) What percent are White and Unarmed?
f) What percent are Hispanic and Unarmed?
If you compare answers d, e and f it shows the highest percentage of unarmed people being shot is most likely white.
Why is that?
This is because there are more white people in the United States than any other race and therefore there are likely to be more white people in the table. Since there are more white people in the table, there most likely would be more white and unarmed people shot by police than any other race. This pulls the percentage of white and unarmed up. In addition, there most likely would be more white and armed shot by police. All the percentages for white people would be higher, because there are more white people. For example, the table contains very few Hispanic people, and the percentage of people in the table that were Hispanic and unarmed is the lowest percentage.
Think of it this way. If you went to a college that was 90% female and 10% male, then females would most likely have the highest percentage of A grades. They would also most likely have the highest percentage of B, C, D and F grades
The correct way to compare is "conditional probability". Conditional probability is getting the probability of something happening, given we are dealing with just the people in a particular group.
g) What percent of blacks shot and killed by police were unarmed?
h) What percent of whites shot and killed by police were unarmed?
i) What percent of Hispanics shot and killed by police were unarmed?
You can see by the answers to part g and h, that the percentage of blacks that were unarmed and killed by police is approximately twice that of whites that were unarmed and killed by police.
j) Why do you believe this is happening?
Do a search on the internet for reasons why blacks are more likely to be killed by police. Read a few articles on the topic. Write your response using the articles as references. Give the websites used in your response. Your answer should be several sentences long with at least one website listed. This part of this problem will be graded after the due date.
A scuba diver dove from the surface of the ocean to an elevation of $$\displaystyle−{79}{\frac{{{9}}}{{{10}}}}$$ feet at a rate of - 18.8 feet per minute. After spending 12.75 minutes at that elevation, the diver ascended to an elevation of $$\displaystyle−{28}{\frac{{{9}}}{{{10}}}}$$ feet. The total time for the dive so far was $$\displaystyle{19}{\frac{{{1}}}{{{8}}}}$$. minutes. What was the rate of change in the diver's elevation during the ascent?
Let the sample space be
$$S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.$$
Suppose the outcomes are equally likely. Compute the probability of the event E="an even number less than 9."
Kareem has 216 role-playing game cards. His goal is to collect all 15 sets of cards. There are 72 cards in a set. How many more cards does Kareem need to reach his goal?
An experiment on the probability is carried out, in which the sample space of the experiment is
$$S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.$$
Let event $$E={2, 3, 4, 5, 6, 7}, event$$
$$F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}$$.
Assume that each outcome is equally likely. List the outcome s in For G.
Now find P( For G) by counting the number of outcomes in For G.
Determine P (For G ) using the General Addition Rule.
Mark has a board that is 12 feet long. He cuts the board into 8 pieces that are the same length. How long is each piece?
According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.$$\displaystyle{f{{\left({x}\right)}}}=_{_}$$ where $$\displaystyle≤{X}≤.\mu=\sigma=$$. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.
A middle school assigned a four digit ID number to each student. The number is made from the digits 123 and four and no digit is repeated if assigned randomly, what is the probability that an ID number will end with the number three