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3 years ago

Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Mathematics

2 answers:

Ivan3 years ago

6 0

choosing a blue marble does not represent the complement event of choosing a red marble because 2/5 ≠ 4/5.

Step-by-step explanation:

There are 2 blue marbles, 1 red marble, and 2 purple marbles.

The total number of marbles ⇒ 2 blue + 1 red + 2 purple = 5 marbles.

To find the probability of choosing a blue marble :

P (blue) = No.of blue marbles / Total marbles

⇒ 2 / 5

To find the complement event of choosing a red marble :

Complement of an Event is defined as all the outcomes that are NOT the event.
So the Complement of an event is all the other outcomes (not the ones we want).

Complement of choosing red ⇒ P (not getting red marble)

P (not getting red marble) = No.of marbles other than red / Total marbles

⇒ 4 / 5

Therefore, P(blue) is not equal to P(not getting a red).

⇒ 2/5 ≠ 4/5

So, choosing a blue marble does not represent the complement event of choosing a red marble.

ludmilkaskok [199]3 years ago

4 0

Answer:

Sample Response: The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x

Maurinko [17]

Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)

1 \3x - 4 = (1/3)x - 4 (**)

(*) = (**) =>

(x^2)/3 -2 = (1/3)x - 4 => multiply both sides by 3

x^2 - 6 = x - 12 => subtract x from both sides

x^2 -x -6 = -12 => add 12 to both sides

x^2-x +6 = 0

Using the quadratic formula gives:

x = 1/2 (1 +\- i sqrt(23))

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MrB

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Let's analyze the points in the data:

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