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Teachers and college degrees Select an adult at random. Define events D: person has earned a college degree, and T: person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.

P(D)P(T)P(DT)P(TD)

Short Answer

Expert verified

The order isP(T)<P(TD)<P(D)<P(DT)

Step by step solution

01

Given Information

It is given that

D: Person earned college degree

T: Person's career is teaching

P(D)Probability of person earning a college degree

P(T) Probability for professional teacher

P(TD) Conditional probability for degree holder professional teacher

P(DT) Conditional probability for teaching career degree holder

02

Explanation

All teachers have college degree as per universal fact.

  • P(DT)is largest as lot of people have college degree.
  • P(D) is next largest as most degree holders are not having teaching career.
  • P(TD)<P(D) as the professional teachers are less than the people with a college degree opting for teaching career.
  • Also P(TD)>P(T)

The order isP(T)<P(TD)<P(D)<P(DT)

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