Sets question

Question

In a class of 60 students, 40 students like math, 36 like sciences, 24 like both the subjects. Find the students who like a) either math or science b) neither math nor science

Answer 1

Definitions: 

Experiment : activity being done or what you are looking at,situations, etc.

Outcome: single item or trial of that experiment 

Event: one or more outcomes

Probability: measurement of the likelihood of that event 

Experiment: students favorite subjects 

Outcomes: math , science, both, neither 

Event: the number of students that science OR math 

Probability: the likelihood of the student like one or the other subject 

Equation = # of ways the event can occur / total # of possible outcomes 

(A) Total # of possible outcomes = 60 students 

Event 1= student likes math = 40

Event 2= student likes science =36

Probability = (40 + 36 ) / 60 

***Double check the problem 

The number of events should not be greater than the total number of outcomes.*^*

(B) total number of possible outcomes=60

Event: students who like neither 

60-(math likes +science likers + both likers) =-40

Probability= -40/60

*** again check the numbers but the process should be the same