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Kipish [7]
3 years ago
5

If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is

i? compute for all values of i between 2 and 12.
Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
So we need to know the likelihood for each sum. the first sum is 2, and there is no way for one of the die to equal 6 if the sum is 2, therefore the probability is 0. The same applies when the sum is 3, 4, 5, and 6. Once the sum gets to 7, you must evaluate all possible options.
For 7, your options are 1&6, 2&5, 3&4, 4&3, 5&2, 6&1, where the number before the ampersand is the first die, and the number after is the second. there is only one option of the 6 choices where the first die is 6, therefore the probability is 1/6.
For 8, the options are 2&6, 3&5, 4&4, 5&3, 6&2. so of the 5 choices, there is only one option, therefore the probability is 1/5.
For 9, the choices are 3&6, 4&5, 5&4, 6&3. So of the 4 choices, there is 1 option, therefore the probability is 1/4. 
For 10, the options are 4&6, 5&5, 6&4. Of the 3 choices, there is 1 option, therefore the probability is 1/3.
For 11, the options are 5&6, 6&5. Of the 2 choices, there is 1 option, therefore the probability is 1/2.
Finally, for 12, the only option is 6&6. There is only one choice, so the probability is 1.
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There are 20 bucks on the summer reading list how many different ways can you choose one per week for six weeks
eduard

Answer:

There would be 120 different ways

Step-by-step explanation:

20×6=120

6 0
2 years ago
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Which statement is true?<br> 500 is 10 times as much as 50<br> 500 is one tenth as much as 50
Nataly_w [17]
500 is one tenth as much as 50 is correct.
500 of 1/10=50

<span>500 is 10 times as much as 50 is wrong.
</span>500 x 10= 5,000 not 50
7 0
2 years ago
How far did Eddie Travel in all??? 30 pts
dedylja [7]

The last dot to the right would be the total distance.

So at 6 pm he had traveled 45 km.

The answer is 45.

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3 years ago
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What is the area of a hexagonal prism with a side length of 11, a height of 20, and apothem of 9.5? Note: Answer must not be fra
katrin [286]
I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.

First lateral surface area
A1=6*side length*height=6*11*20=1320 units
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8 0
3 years ago
1. The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the
Aleksandr-060686 [28]

Answer:

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.761

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627

The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

7 0
3 years ago
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