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A survey is given to ninth and tenth graders about whether they prefer math or reading. Evaluate P(Reading or Tenth).

A. Probability of choosing Reading
B. Probability of choosing Tenth grade
C. Probability of choosing both Reading and Tenth grade
D. Probability of choosing either Reading or Tenth grade

User Alon Catz
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1 Answer

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Final answer:

To find the probability of a student preferring 'Reading' or being a 'Tenth grader', use the formula P(Reading or Tenth) = P(Reading) + P(Tenth) - P(Reading and Tenth). This is a common technique in probability to account for the overlap between two events.

Step-by-step explanation:

The question revolves around the concept of probability, specifically the evaluation of the cumulative probability of choosing 'Reading' or being in 'Tenth grade' from a survey given to ninth and tenth graders.

To solve this, you would consider:

  • A. The probability of a student preferring Reading.
  • B. The probability of a student being in the Tenth grade.
  • C. The probability of a student both preferring Reading and being in Tenth grade.
  • D. The probability of either event occurring, which is found using the formula P(A or B) = P(A) + P(B) - P(A and B), where A is the event of choosing Reading, and B is the event of being in Tenth grade.

Without concrete numbers, we can't give a definitive answer, but this is the procedure the student would follow to evaluate the probability of a student preferring Reading or being a Tenth grader.

User Marco Castano
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