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denis-greek [22]
3 years ago
5

The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclus

ive. if 4 disks are to be selected one after the other, with each disk selected at random and without replacement, what is the probability that the range of the numbers on the disks selected is 7
Mathematics
1 answer:
allsm [11]3 years ago
6 0

First we calculate for the total number of possibilities (permutation) to select 4 disks from the container:

Total number of possibilities = 10 * 9 * 8 * 7

Total number of possibilities = 5040

<span>
Now let us find the 4 disks that will result in a range of 7. </span>

Range = highest number – lowest number

The pair of highest and lowest number that will result in range of 7 is: (1 & 8), (2 & 9), (3 & 10)

 

As a basis of calculation, let us use the pair 1 & 8.

There are four possible ways to select 1 and three for 8.

Arrangements of maximum and minimum pair = 4 * 3

Arrangements of maximum and minimum pair=12

Now we need to calculate for the remaining 2 disk. There are 6 numbers between 1 & 8. The total possibilities for selecting 2 disk from the remaining 6 is:

Possibilities of selecting 2 disk from remaining 6 = 6 * 5

Possibilities of selecting 2 disk from remaining 6 = 30

Therefore, the total possibility to get a range of 7 from a pair of 1 & 8 is:

Total possibility for a pair = 12 * 30

Total possibility for a pair = 360

 

Since there are a total of three pairs (1 & 8), (2 & 9), (3 & 10):

Total possibilities of the 3 pairs = 360 * 3

Total possibilities of the 3 pairs = 1080

 

Therefore:

Probability = Total possibilities of the 3 pairs / Total number of possibilities

<span>Probability = 1080 / 5040 = 3 / 14                      (FINAL ANSWER)</span>

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Korolek [52]

Answer:

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I hope that is useful for you :)

8 0
2 years ago
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garri49 [273]

Answer:

The correct answer is slot one/1... Have great day :)

Step-by-step explanation:

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3 years ago
John is paid 5% commission on the value of photocopiers he sells. Last week he sold $24,000 worth of copiers. He decided to inve
allsm [11]

Answer:

5040

Step-by-step explanation:

24000-5%=1200

1200+5%=1260

1260x4=5040

3 0
3 years ago
Find the distance between the points (-9,2) and (-1,4). Round to the nearest tenth if necessary.
AlekseyPX

Answer:

The answer to the nearest tenth is 8.2

Step-by-step explanation:

In order to find the distance between any two points, you must use the distance formula. when you plug in the points into the formula you end up with 8.246, rounded to the nearest tenth would be 8.2. I hope this helps!

8 0
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The equation of the circle is written as: (x - h)² + (y - k)² = r²

(h,k) are the points of the center of the circle.
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