question 1 (multiple choice worth 2 points) (likelihood mc) a group of students were asked which club they…

question 1 (multiple choice worth 2 points) (likelihood mc) a group of students were asked which club they planned to join. compare the probabilities of a randomly selected student joining a club and interpret the likelihood. choose the statement that is true.\nclub percent of students\ngarden club 0.1\nrobotics club 0.2\ntechnology club 0.5\nzoology club 0.2\nthe student will be more unlikely to join the garden club than the robotics club because p(garden) < p(robotics).\nthe student will be more likely to join the zoology club than the robotics club because p(zoology) > p(robotics).\nthe student will be equally likely to join the robotics club or technology club because p(robotics) = p(technology).\nthe student will be more unlikely to join the robotics club than the garden club because p(robotics) < p(garden).

question 1 (multiple choice worth 2 points) (likelihood mc) a group of students were asked which club they planned to join. compare the probabilities of a randomly selected student joining a club and interpret the likelihood. choose the statement that is true.\nclub percent of students\ngarden club 0.1\nrobotics club 0.2\ntechnology club 0.5\nzoology club 0.2\nthe student will be more unlikely to join the garden club than the robotics club because p(garden) < p(robotics).\nthe student will be more likely to join the zoology club than the robotics club because p(zoology) > p(robotics).\nthe student will be equally likely to join the robotics club or technology club because p(robotics) = p(technology).\nthe student will be more unlikely to join the robotics club than the garden club because p(robotics) < p(garden).

Answer

Explanation:

Step1: Identify probabilities

The probability of joining the Zoology Club $P(\text{Zoology}) = 0.2$, the Technology Club $P(\text{Technology})=0.5$, the Robotics Club $P(\text{Robotics}) = 0.2$ and the Garden Club $P(\text{Garden})=0.1$.

Step2: Compare probabilities

We see that $P(\text{Zoology}) = P(\text{Robotics})=0.2$, $P(\text{Technology}) = 0.5$ and $P(\text{Garden})=0.1$. Since $P(\text{Garden})<P(\text{Robotics})$, a student is more unlikely to join the Garden Club than the Robotics Club.

Answer:

The student will be more unlikely to join the Garden Club than the Robotics Club because $P(\text{Garden})<P(\text{Robotics})$.