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ICE Princess25 [194]
1 year ago
6

there are 20 colored markers in a package – 8 black, 4 blue, 4 red, 4 green. if two markers are selected at random, one after an

other, without replacement, find the probability that both will be blue.
Mathematics
1 answer:
mihalych1998 [28]1 year ago
4 0

If two markers are selected at random, one after another, without replacement, the probability that both will be blue = 0.0316

For given question,

there are 20 colored markers in a package – 8 black, 4 blue, 4 red, 4 green.

if two markers are selected at random, one after another, without replacement, we need to find the probability that both will be blue.

The probability that the selecting one blue marker is:

4/20

After selecting one blue marker, there are 19 markers in a package -  8 black, 3 blue, 4 red, 4 green.

The probability of selecting second blue marker would be,

3/19

So, the probability that both will be blue:

4/20 × 3/19

= 0.2 × 0.16

= 0.0316

Therefore, if two markers are selected at random, one after another, without replacement, the probability that both will be blue = 0.0316

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

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3 years ago
1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

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So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 3 = ⅓(6) + 5 -> 3 = 7, which is false.
  2. 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
  3. -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
  4. 3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

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So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

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  2. 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
  3. 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
  4. 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

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2 years ago
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Hope this helps
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