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LiRa
1 month 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:
Svet_ta [12.7K]1 month ago
6 0

Response:

Sampling with replacement signifies that a marble is selected, its color is noted, replaced, and the box is shaken before another selection is made.\dfrac{9}{64}

There are 1+3+4=8 marbles in total. The probability of selecting the first blue marble is \dfrac{3}{8}., then when Maya places this marble back, the chance of picking the second blue marble remains constant. By applying the product rule, the probability of drawing 2 blue marbles consecutively is

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

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