Jerry conducted a survey to determine the favorite flavor of ice cream in the seventh grade. he surveyed 40 students and found that 1 out of 4 students like vanilla ice cream the most. if a random 7th grader was chosen from Jerry’s school what is the likelihood the student would like vanilla ice cream?

A. Likely
B. Unlikely
C. Certain
D. Impossible

Given : Jerry conducted a survey to determine the favorite flavor of ice cream in the seventh grade. he surveyed 40 students and found that 1 out of 4 students like vanilla ice cream the most.

To Find: if a random 7th grader was chosen from Jerry’s school what is the likelihood the student would like vanilla ice cream?

Solution :

Since we are given that 1 out of 4 students like vanilla ice cream the most.

So, probability of liking vanilla is 1/4 = 0.25

Now,

Likely : When an event has a good chance of happening i.e. probability of event must be greater than 1/2 = 0.5

Unlikely : When an event does not has a good chance of happening i.e. probability of event must be smaller than 1/2 = 0.5

Certain : When an event will always happen i.e. probability must be 1

Impossible : When an event will never happen i.e. probability must be 0

Since probability of liking vanilla is 1/4 = 0.25 less than 0.5

So, the likelihood is Unlikely according to definitions

So, Unlikely is the likelihood the student would like vanilla ice cream