Question

Students and teachers at a school were asked if they preferred blue, green, red, or yellow. The table shows the results of the survey. Blue Green Red Yellow Total Students 5 10 20 15 50 Teachers 15 10 5 20 50 Total 20 20 25 35 100 Choose three statements that can be inferred from the data in the table. A. 20% of all people surveyed chose blue. B. 20% of the students surveyed chose red. C. 20% of the students surveyed chose blue. D. 20% of the teachers surveyed chose green. E. 20% of those who chose red were teachers. F. 20% of those who chose yellow were teachers.​

Answer 1

20% of all people surveyed chose blue and 20% of the teachers surveyed chose green. Then the correct options are A and D.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Students and teachers at a school were asked if they preferred blue, green, red, or yellow.

The table shows the results of the survey.

$\begin{matrix}&\rm Blue &\rm Green &\rm Red &\rm Yellow &\rm Total \\\\\rm Students &5 &10 &20 &15 &50 \\\\\rm Teachers &15 &10 &5 &20 &50\\\\\rm Total &20 &20 &25 &35 &100\end{matrix}$

A. The probability of the people who chose blue will be

$\rm P = \dfrac{20}{100} = 0.2 \ or \ 20\%$

B. The probability of the student who chose red will be

$\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%$

C. The probability of the student who chose blue will be

$\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%$

D. The probability of the teachers who chose green will be

$\rm P = \dfrac{10}{50} = 0.2 \ or \ 20\%$

E. The probability of the teachers who chose red will be

$\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%$

F. The probability of the teachers who chose yellow will be

$\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%$

More about the probability link is given below.

https://brainly.com/question/795909

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