In the laundry basket there are 4 black socks, 7 pink socks, and 10 white socks. Allison will randomly select 2 socks from the basket one at a time without replacement. What is the probability that Allison will select 2 pink socks?

Answers

Answer 1

Answer: [tex]\dfrac{1}{10}[/tex]

Step-by-step explanation:

Given: In basket, we have

4 black socks, 7 pink socks, and 10 white socks.

Total socks = 4+7+10 = 21

Probability that first sock is pink = [tex]\dfrac{\text{Number of pinks socks}}{\text{Total}}=\dfrac{7}{21}=\dfrac13[/tex]

Now basket has 6 pink socks left and total socks left= 20

Probability that second sock is pink =[tex]\dfrac{6}{20}=\dfrac{3}{10}[/tex]

The probability that Allison will select 2 pink socks = [tex]\dfrac13\times\dfrac{3}{10}=\dfrac{1}{10}[/tex]

Hence, the probability that Allison will select 2 pink socks = [tex]\dfrac{1}{10}[/tex]


Related Questions

Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. Write an equation that describes Roman's total cost for playing handball as a function of the number of times he plays. Let C = the total cost and n = the number of times he plays

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C = 15n + 150 I think

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A water pitcher is 10 inches in height and 6 inches in diameter. Glasses used at a restaurant are 6 inches in height and 2.5 inches in diameter. If a server at the restaurant completely fills the pitcher with water, how many full glasses of water can he fill without any ice?

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Step-by-step explanation:

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Answers

I got 15 but that isn’t an option. When the triangle is scaled down the angles should stay the same. 180-(50+115)=15

The endpoints of a line segment AR are A(8,-2) and R(-4,1). What is the length of the AR?

Answers

Answer:

The length of the AR is  [tex]3\sqrt{17}[/tex]  or [tex]12.4[/tex] units.

Step-by-step explanation:

Given the endpoints of a line segment AR

A(8, -2)R(-4, 1)

We can calculate the length of AR using the formula

[tex]L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

In our case,

(x₁, y₁) = (8, -2)  (x₂, y₂) = (-4, 1)

Substituting (x₁, y₁) = (8, -2) and (x₂, y₂) = (-4, 1) in the formula

[tex]L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(-4-8\right)^2+\left(1-\left(-2\right)\right)^2}[/tex]

        [tex]=\sqrt{\left(-4-8\right)^2+\left(1+2\right)^2}[/tex]            ∵ Apply rule:  [tex]-\left(-a\right)=a[/tex]

        [tex]=\sqrt{12^2+3^2}[/tex]

        [tex]=\sqrt{144+9}[/tex]

        [tex]=\sqrt{153}[/tex]

        [tex]=\sqrt{9\times 17}[/tex]

         [tex]=\sqrt{17}\sqrt{3^2}[/tex]          Apply radical rule:   [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

         [tex]=3\sqrt{17}[/tex]              Apply radical rule:   [tex]\sqrt[n]{a^n}=a[/tex]

         [tex]=12.4[/tex]

Therefore, the length of the AR is  [tex]3\sqrt{17}[/tex]  or [tex]12.4[/tex] units.

what is the value of x?

enter your answer in the box

Answers

Answer:

39

Step-by-step explanation:

If i'm right, a triangle should add up to 180, so you add 39 and 102 to get 141. Then you subtract 141 from 180 and get 39

Answer:

39

Step-by-step explanation:

Remark

Every triangle has 180 degrees. The three angles must add to 180

Solution

x + 102 + 39 = 180

x + 141 = 180                     Subtract 141 from both sides.

x + 141-141 = 180-141

x = 39

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Answers

Answer:

C. HOPE THIS HELPED

Step-by-step explanation:

Answer:

All of them form a right triangle.

Step-by-step explanation:

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Answers

answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation

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Answers

Answer:

Hey!

Step-by-step explanation:

The diameter of Mercury is 4,879.4 km, while the diameter of Jupiter is 142,984 km. In other words, Jupiter is 29.3 times bigger across than Mercury. In terms of volume, you could fit 24,462 Mercurys inside Jupiter. Jupiter even has 5,750 times more mass than Mercury.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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An equation is written in the form of variables and constants separated by the operation of multiplication and division,

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