10 marbles what is the probability of drawing 2 blue marbles if the first marble is placed back in the bag before the second draw

Answers

Answer 1

Complete Question:

There are 10 marbles. What is the probability of drawing 2 blue marbles if the first marble is NOT placed back in the bag before the second draw.

2 yellow, 3 pink, 5 blue    

Answer:

[tex]P(B_1\ and\ B_2) = \frac{2}{9}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 5[/tex]

[tex]Pink = 3[/tex]

[tex]Yellow = 2[/tex]

[tex]Total = 10[/tex]

When the first blue marble is selected, the probability is:

[tex]P(B_1) = \frac{n(Blue)}{Total}[/tex]

[tex]P(B_1) = \frac{5}{10}[/tex]

Since the first marble is not returned, we have the following marbles left

[tex]Blue = 4[/tex]

[tex]Pink = 3[/tex]

[tex]Yellow = 2[/tex]

[tex]Total = 9[/tex]

The probability of picking a second blue marble is:

[tex]P(B_2) = \frac{n(Blue)}{Total}[/tex]

[tex]P(B_1) = \frac{4}{9}[/tex]

So, the required probability is:

[tex]P(B_1\ and\ B_2) = P(B_1) * P(B_2)[/tex]

[tex]P(B_1\ and\ B_2) = \frac{5}{10} * \frac{4}{9}[/tex]

[tex]P(B_1\ and\ B_2) = \frac{5*4}{10*9}[/tex]

[tex]P(B_1\ and\ B_2) = \frac{20}{90}[/tex]

[tex]P(B_1\ and\ B_2) = \frac{2}{9}[/tex]


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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

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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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

Answer:

D

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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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

Hey there!

Formula: y2 – y1/ x2 – x1

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x2 = 1

x1 = 5

Equation: 10 – 7/ 1 – 5

10 – 7 = 3 ⬅️ Numerator

1 – 5 = –4 ⬅️ Denominator

Answer: 3/–4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Let the points be A and B
Distance AB= root (1-5)^2-(10-7)^2
= root 16-9
= root 7
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