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NARA [144]
3 years ago
13

A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

en draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

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Answer:

The data we have is:

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Profit per table = $20

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Table needs: 2 large pieces, 2 small pieces.

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Let's define:

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0 ≤ T ≤ 3

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Then we want to use a medium number of tables and chairs, we can not use the maximum for any of those, the first thing we should try is:

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8 small, 6 large:

Then we can make:

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3 years ago
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3 years ago
Read 2 more answers
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