Question

A group of students were asked which club they planned to join.

Club Percent of Students

Garden Club 0.1

Robotics Club 0.2

Technology Club 0.5

Zoology Club 0.2

Compare the probabilities of a randomly selected student joining a club and interpret the likelihood. Choose the statement that is true.


The student will be more likely to join the Robotics Club than the Garden Club because P(Robotics) > P(Garden).

The student will be equally likely to join the Robotics Club or Technology Club because P(Robotics) = P(Technology).

The student will be more unlikely to join the Zoology Club than the Robotics Club because P(Zoology) > P(Robotics).

The student will be more likely to join the Garden Club than the Robotics Club because P(Garden) < P(Robotics).

Answer 1

(a) The student will be more likely to join the Robotics Club than the Garden Club because P(Robotics) > P(Garden).

Explanation:

You want to compare and interpret probabilities of joining a club, given the poll results in the table.

Probabilities

In order of probability, greatest to least, students are planning to join the clubs ...

Technology > {Robotics, Zoology} > Garden

Comparing against answer choices we see ...

(a) more likely to join Robotics than Garden — True

(b) equally likely to join Robotics or Technology — false

(c) more unlikely to join Zoology than Robotics — false

(d) more likely to join Garden than Robotics — false

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Additional comment

The intent of the numbers is to say that higher numbers indicate a greater probability of joining the corresponding club. When the numbers are equal, the probabilities are equal, so you cannot say one is greater than the other.

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