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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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Answer:

1. 500

2. 2,286

Step-by-step explanation:

1. $250 divide by 0.5

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3 years ago
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Step-by-step explanation:

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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva
torisob [31]

Answer:

h = 15.163\ meters

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

tan(30) = (h - 1.5) / x

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

tan(45) = (h - 1.5) / (x - 10)

So rewriting both equations using the tangents values, we have that:

0.5774 = (h - 1.5) / x

1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)

From the first equation, we have that:

x = (h - 1.5) / 0.5774

Using this value of x in the second equation, we have that:

h - 1.5 =  \frac{ (h - 1.5) }{0.5774} - 10

h + 8.5 =  \frac{ (h - 1.5) }{0.5774}

0.5774h + 4.9079 = h - 1.5

0.4226h = 6.4079

h = 15.163\ meters

5 0
3 years ago
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Multiply both sides by 6.6
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There is about 51.5 minutes of commercials
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