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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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Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.
Lunna [17]

Answer: The measure of AC is 32.

Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

AC=2\times DF

AC=2\times 16

AC=32

Therefore, the length of AC is 32.

7 0
2 years ago
Bob drove at an average speed of 15km/h correct to the nearest unit. He drove for 3 hours, correct to the nearest hour. What is
Mazyrski [523]

Answer:

45km

Step-by-step explanation:

Given data

Average Speed= 15km/h

Time = 3 hours

Required

The distance traveled

Speed= distance/time

Distance= speed*time

Distance= 15*3

Distance= 45km

Hence the lower bound of the distance is 45km

5 0
3 years ago
given the following information about two loaded die, what is the p(5) on die 2? die 1p(1) = 0.5 p(4) = 0.25 p(6) = 0.25 die 2p(
bagirrra123 [75]

Answer:

0.45

Step-by-step explanation:

Die 1 is loaded so that only 1, 4, and 6 are possible.

P(1) + P(4) + P(6) = 0.5 + 0.25 + 0.25 = 1

Similarly, Die 2 is loaded so that only 2, 3, and 5 are possible.

P(2) + P(3) + P(5) = 1

0.3 + 0.25 + P(5) = 1

P(5) = 0.45

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3 years ago
Find all solutions of 2x^2+ 5 = 2x and express them<br> in the form a +bi.
olga_2 [115]

Answer:

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What percent of pure gold is in a watchcase that is 16 carats fine? In a chain that is 12 carats fine? In a ring that is 14 carats fine?

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2 years ago
What number does y stand for in this equation?<br> 2y - 7 = 35
sergejj [24]
  1. 2y - 7 = 35
  2. +7. +7
  3. 2y. 42
  4. 2. 2
  5. y=21
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3 years ago
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