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soldier1979 [14.2K]
2 years ago
14

You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a 1?

Mathematics
1 answer:
Virty [35]2 years ago
6 0
 It's not specified whether 1 is the 1st or 2nd roll: HOWER:

The 1st Roll is "1": P(odd sum/the 1st Roll is 1)
What is the sample space of all numbers starting with "1":
{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),} = 6
the couple of add sum=(1,2), (1,4), (1,6), =3
P(odd sum/ 1st is 1) = 3/6 =1/2
or in applying the formula:

P(odd sum/the 1st Roll is 1) =P(odd sum ∩ 1) / P(getting "1") it will give the same probability = 1/2

NOW if the 2nd Roll is "1", it 's still 1/2

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3 years ago
Match each irrational number line on which it is represented 2.18112... 2.1823912 2.364125 2.1829391321
sergij07 [2.7K]

Answer:

See Explanation

Step-by-step explanation:

The number lines to make selection from are missing from the question.

<em>However, I've attached 4 number lines, each of which represents each of the given irrational numbers (see attachment)</em>

<em></em>

<u>Number: 2.1823912</u>

This is represented by number line 1

Each point of number line 3 is 0.001 units starting from 2.18;

The point which the red dot is located is between 2.182 and 2.183, but the dot is closer to 2.182.

<em>2.1823912 and 2.1829391321 satisfy this property but number line 2 represents 2.1829391321 (see below for explanation)</em>

So: 2.1823912 is represented by number line 1

<u></u>

<u>Number: 2.1829391321</u>

This is represented by number line 2.

Each point of number line 3 is 0.0001 units starting from 2.182;

The point which the red dot is located is between 2.1829 and 2.1830, but the dot is closer to 2.1829.

From the list of given numbers, only 2.1829391321 satisfy this property.

<em />

<u>Number: 2.18112...</u>

This is represented by number line 3.

Each point of number line 3 is 0.01 units starting from 2.11;

The point which the red dot is located is between 2.18 and 2.19.

If number lines 1 and 2 represent 2.1823912 and 2.1829391321, respectively, then number line 3 represents 2.18112.

<u></u>

<u>Number: 2.364125 </u>

This is represented by number line 4.

Each point on this number line is 0.1 unit starting from 2.0;

The point which the red dot is located is between 2.30 and 2.40. From the list of given numbers, only 2.364125  satisfy this property.

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