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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1 : 3 : 1
This question is about probability using bottle tops of different colors. Let's break it down.
First, let's count the bottle tops from the image: • Yellow: 2 • Red: 6 • Green: 2 Total bottle tops:
a) The question asks about the probability of picking a green bottle top. Step 1: Identify the number of green bottle tops and the total number of bottle tops. Number of green bottle tops = 2 Total number of bottle tops = 10
Step 2: Calculate the probability. Probability of picking a green bottle top = The probability is . This means it is possible but not certain to pick a green bottle top.
b) The question asks about the probability of picking a blue bottle top. Step 1: Identify the number of blue bottle tops and the total number of bottle tops. Number of blue bottle tops = 0 (there are no blue bottle tops in the image) Total number of bottle tops = 10
Step 2: Calculate the probability. Probability of picking a blue bottle top = The probability is 0. This means it is impossible to pick a blue bottle top.
c) The question asks which color bottle tops are most likely to be picked if you pick one 10 times, and it's equally likely to pick any bottle top. The student's work shows "Ke 4 + 4 + 2 = 10". This seems to be an attempt to redistribute the colors. However, the question asks which existing color is most likely. Step 1: Compare the number of bottle tops for each color. Yellow: 2 Red: 6 Green: 2
Step 2: Identify the color with the highest number of bottle tops. Red has 6 bottle tops, which is more than yellow (2) or green (2). Therefore, red bottle tops are the most likely to be picked.
d) The question asks about the ratio of the bottle tops if there are 10 bottle tops in total. The student's work shows "Setlwaoo" which means "ratio". Step 1: List the number of bottle tops for each color. Yellow: 2 Red: 6 Green: 2
Step 2: Express the ratio of Yellow : Red : Green. Step 3: Simplify the ratio by dividing all numbers by their greatest common divisor, which is 2. The ratio of yellow to red to green bottle tops is .
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This question is about probability using bottle tops of different colors. Let's break it down.
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.