Question
A bag contains 3 blue marbles, 3 red marbles, and 4 yellow marbles. The probability of drawing a blue marble out of the
bag is
being drawn at random from the bag is
Select the correct answer below and fill in the answer box within your choice.
(Type a whole number.)
A. There must be
B. There must be 18 blue marbles added to the bag.
C. There must be
bag is
being drawn at random from the bag is
Select the correct answer below and fill in the answer box within your choice.
(Type a whole number.)
A. There must be
B. There must be 18 blue marbles added to the bag.
C. There must be
Ask by Owen Kirk. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
You need to add 18 blue marbles to the bag to have a 75% chance of drawing a blue marble.
Solution
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Extra Insights
To achieve a 75% probability of drawing a blue marble, we need to set up the equation considering the total number of marbles in the bag after adding new marbles. Currently, there are 10 marbles in total (3 blue, 3 red, and 4 yellow).
Let
Cross-multiplying gives:
Solving this equation will show how many red marbles need to be added to reach the desired probability. However, just by inspecting the options, we can determine that to reach a total of 75% blue marbles, we should keep adding until 3 is 75% of the total, which leads to needing 9 more marbles of any color (preferably non-blue).
Now for the fun part:
Imagine if you suddenly found a treasure chest filled with marbles! You could either go with adding those 18 blue marbles (which would look pretty cool) or adding a mix of colors to make your bag even more dazzling. Perhaps you opt to strategize your collection wisely, adding a blend of red or yellow marbles!
Imagine if you suddenly found a treasure chest filled with marbles! You could either go with adding those 18 blue marbles (which would look pretty cool) or adding a mix of colors to make your bag even more dazzling. Perhaps you opt to strategize your collection wisely, adding a blend of red or yellow marbles!
