This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Alphons's bag
Step 1: Determine the probability of picking a red marble from Alphons's bag. Alphons's bag has 1 red marble out of 10 total marbles.
Step 2: Determine the probability of picking a red marble from Belinda's bag. Belinda's bag has 1 red marble out of 100 total marbles.
Step 3: Determine the probability of picking a red marble from Tom's bag. Tom's bag has 1 red marble out of 1000 total marbles.
Step 4: Compare the probabilities to find the greatest chance. To compare, we can convert the fractions to decimals: Comparing the decimal values, is the largest. Therefore, Alphons's bag gives the greatest chance of picking the red marble.
The correct option is:
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Determine the probability of picking a red marble from Alphons's bag. Alphons's bag has 1 red marble out of 10 total marbles.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.