A kiddie pool holds miniature plastic ducks in different colors. Sophia randomly picks up a duck and then replaces it. She repeats this process 100 times. The table shows the results of her experiment.

What is the relative frequency of choosing a red duck? What color of duck is there likely to be the most of in the pool?

A. The relative frequency is 0.3. It is likely that most ducks are blue.
B. The relative frequency is 0.2. It is likely that most ducks are yellow.
C. The relative frequency is 0.3. It is likely that most ducks are yellow.
D. The relative frequency is 0.2. It is likely that most ducks are green.

Question

07-01-2018
Mathematics

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A kiddie pool holds miniature plastic ducks in different colors. Sophia randomly picks up a duck and then replaces it. She repeats this process 100 times. The table shows the results of her experiment.

What is the relative frequency of choosing a red duck? What color of duck is there likely to be the most of in the pool?

A. The relative frequency is 0.3. It is likely that most ducks are blue.
B. The relative frequency is 0.2. It is likely that most ducks are yellow.
C. The relative frequency is 0.3. It is likely that most ducks are yellow.
D. The relative frequency is 0.2. It is likely that most ducks are green.

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Peanut671166 Peanut671166 · Answer 1 · 2018-01-07T03:33:14+01:00

Peanut671166 Peanut671166

07-01-2018

The answer is B the relative frequency is 0.2 it is likely that most ducks are yellow

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PallaviB PallaviB · Answer 2 · 2022-07-06T06:08:30+02:00

The relative frequency of choosing a red duck will be [tex]0.3[/tex] and the color of duck likely to be the most of in the pool will be yellow.

What is Relative frequency ?

Relative frequency of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials.

We have,

Red [tex]=30[/tex]

Green [tex]=20[/tex]

Yellow [tex]=40[/tex]

Blue [tex]=10[/tex]

Process repeats [tex]100[/tex] times.

Now,

Total number of outcomes [tex]=100[/tex]

So,

The relative frequency of choosing a red duck,

Relative frequency [tex]=\frac{Total\ number\ of\ outcomes}{Total\ number\ of\ trials}[/tex]

So,

The relative frequency of choosing a red duck [tex]=\frac{30}{100} =0.3[/tex]

Now,

The color of duck likely to be the most of in the pool will be yellow because we get yellow most of the times i.e. [tex]40[/tex] times.

Hence, we can say that the relative frequency of choosing a red duck will be [tex]0.3[/tex] and the color of duck likely to be the most of in the pool will be yellow.

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