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Luena
30.11.2019 •
Mathematics
For a special game don has two 8-sided fair dice numbered from 1 to 8 on the faces. just as with ordinary dice, don rolls the dice and sums the numbers that appear on the top face, getting a sum from 2 to 16. what is the sum of the possible numbers which have a probability of 1/32 of appearing
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Ответ:
Answer
The sum of the possible numbers are {(1,2), (2,1)}
Step-by-step explanation:
Probability for rolling two dice with the eight sided dots are 1, 2, 3, 4, 5, 6, 7 and 8 dots in each die.
When two dice are rolled or thrown simultaneously, thus number of event can be
= 64 because each die has 1 to 8 numbers on its faces. Then the possible outcomes of the sample space are shown in the pdf document below .
As Don rolls the dice and sums the number that appear on the top face, he gets a sum from 2 to 16.
Assuming; getting sum of 2
Let E
= event of getting sum of 2
E
= { (1 , 1 ) }
Therefore, Probability of getting sum of 2 will be;
P ( E
) = ![\frac{Number of favorable outcome}{Total number of possible outcome}](/tpl/images/0397/0920/a7421.png)
=![\frac{1}{64}](/tpl/images/0397/0920/f107c.png)
GETTING SUM OF TWO ( i.e { (1 , 1 ) } ) will give the probability of 1/64 of appearing. But we are looking for the probability of 1/32 of appearing. Let look at the possibility of getting sum of 3.
Assuming; getting sum of 3
Let E
= event of getting sum of 3
E
= { (1 , 2 ) (2 , 1) }
Therefore, Probability of getting sum of 3 will be;
P ( E
) = ![\frac{Number of favorable outcome}{Total number of possible outcome}](/tpl/images/0397/0920/a7421.png)
=![\frac{2}{64}](/tpl/images/0397/0920/2553d.png)
=![\frac{1}{32}](/tpl/images/0397/0920/f9172.png)
For all probability of getting the sum greater than 3 to 16 will be void because there wont be a chance for 1/32 to appear. Therefore, the sum of the possible numbers are: {(1,2), (2,1)} which have a probability of 1/32 of appearing.
I hope this comes in handy at the rightful time!
Ответ:
20 + 10 = 30
30 - 12 = 18
18 + 5 = 23
His elevation is 23ft below the sea level