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Sunday, November 1

Today's practice set

Five questions on probability and conditional probability. A different skill comes up tomorrow. Pick an answer to see the explanation.

0 of 5 answered · 0 correct · set 1

  1. Question 1Medium

    A survey asked students in two grades whether they prefer art or music. The results are shown in the table.

    ArtMusicTotal
    9th grade283765
    10th grade283866
    Total5675131

    If a 10th grader in the survey is chosen at random, what is the probability that the student prefers music?

    Show answer and explanation

    Answer: B

    "Given" narrows the group: only the 66 students in that row count.

    Of those, 38 match.

    Probability = 38/66 = 19/33.

  2. Question 2Medium

    A survey asked students in two grades whether they prefer art or music. The results are shown in the table.

    ArtMusicTotal
    9th grade14822
    10th grade391150
    Total531972

    If a 10th grader in the survey is chosen at random, what is the probability that the student prefers music?

    Show answer and explanation

    Answer: C

    "Given" narrows the group: only the 50 students in that row count.

    Of those, 11 match.

    Probability = 11/50.

  3. Question 3Medium

    A survey asked students in two grades whether they prefer art or music. The results are shown in the table.

    ArtMusicTotal
    9th grade361147
    10th grade121224
    Total482371

    If a student who prefers art is chosen at random, what is the probability that the student is in 9th grade?

    Show answer and explanation

    Answer: D

    "Given" narrows the group: only the 48 students in that column count.

    Of those, 36 match.

    Probability = 36/48 = 3/4.

  4. Question 4Easier

    A survey asked students in two grades whether they prefer art or music. The results are shown in the table.

    ArtMusicTotal
    9th grade231134
    10th grade133346
    Total364480

    If a student in the survey is chosen at random, what is the probability that the student is a 9th grader who prefers music?

    Show answer and explanation

    Answer: C

    The whole survey is the group: 80 students.

    Of those, 11 match.

    Probability = 11/80.

  5. Question 5Medium

    A survey asked students in two grades whether they prefer art or music. The results are shown in the table.

    ArtMusicTotal
    9th grade213455
    10th grade153651
    Total3670106

    If a student who prefers art is chosen at random, what is the probability that the student is in 9th grade?

    Show answer and explanation

    Answer: D

    "Given" narrows the group: only the 36 students in that column count.

    Of those, 21 match.

    Probability = 21/36 = 7/12.

Every answer checked

Math questions are solved twice, by the template and by an independent check in code. A question whose answers disagree never reaches you.

Every choice explained

Explanations cover why the right answer is right and what mistake leads to each wrong one.

Original questions

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