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O tla tlhatlha ditlhogo tsa mabotlolo di le tharo tsa mebala e e farologaneng sk. Kgetisi ya polasetiki e go sa bonaleng. Di tsenye mo kgetisaneng e go sa bonaleng. Thala objekle e le nngwe o sa lebe mo leng. Kwala maduo a gago mo theiboleng o dirisa tlhal.

Mathematics

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Answer

d

1 : 3 : 1\text{1 : 3 : 1}

Step-by-step solution

9 steps

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: 2+6+2=102 + 6 + 2 = 10

Part a· 2 steps

The question asks about the probability of picking a green bottle top.

  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

  2. Calculate the probability.

    Probability of picking a green bottle top = Number of green bottle topsTotal number of bottle tops\frac{\text{Number of green bottle tops}}{\text{Total number of bottle tops}}

    P(Green)=210=15P(\text{Green}) = \frac{2}{10} = \frac{1}{5}

    The probability is 15\frac{1}{5}. This means it is possible but not certain to pick a green bottle top.

Part b· 4 steps

The question asks about the probability of picking a blue bottle top.

  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

  2. Calculate the probability.

    Probability of picking a blue bottle top = Number of blue bottle topsTotal number of bottle tops\frac{\text{Number of blue bottle tops}}{\text{Total number of bottle tops}}

    P(Blue)=010=0P(\text{Blue}) = \frac{0}{10} = 0

    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.

  3. Compare the number of bottle tops for each color.

    Yellow: 2
    Red: 6
    Green: 2

  4. 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.

Part d

1 : 3 : 1\text{1 : 3 : 1}

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".

  1. List the number of bottle tops for each color.

    Yellow: 2
    Red: 6
    Green: 2

  2. Express the ratio of Yellow

    Red : Green.

    Ratio=2:6:2\text{Ratio} = 2 : 6 : 2
  3. Simplify the ratio by dividing all numbers by their greatest common divisor, which is 2.

    Simplified Ratio=22:62:22=1:3:1\text{Simplified Ratio} = \frac{2}{2} : \frac{6}{2} : \frac{2}{2} = 1 : 3 : 1

    The ratio of yellow to red to green bottle tops is 1 : 3 : 1\boxed{\text{1 : 3 : 1}}.

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