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masha68 [24]
3 years ago
14

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 2, and 5 are green, and the sides numbered 3, 4, and 6 are

red. What is the probability of rolling the cube and getting a green or even number?
0
5/6
1
Mathematics
2 answers:
Masteriza [31]3 years ago
6 0

Answer:

P(A\cup B)=\dfrac{5}{6}

B is correct.

Step-by-step explanation:

A cube has six sides that are numbered 1 to 6.

The sides numbered 1, 2, and 5 are green.

The sides numbered 3, 4, and 6 are red.

Sample Space: 1G, 2G, 5G, 3R, 4R, 6R

We need to find the probability of rolling the cube and getting a green or even number.

Let A be event getting green and B be event getting even number.

P(A)=\dfrac{3}{6}

P(B)=\dfrac{3}{6}

P(A\cap B)=\dfrac{1}{6}

The probability of rolling the cube and getting a green or even number.

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\dfrac{3}{6}+\dfrac{3}{6}-\dfrac{1}{6}

P(A\cup B)=\dfrac{5}{6}

Hence, The probability of rolling the cube and getting a green or even number is 5/6

gayaneshka [121]3 years ago
5 0
5/6 because 1 and 5 are odd numbers
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<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

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(x₃, y₃) = (0, 4)

Determine the base

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b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

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area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

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