In a group of 30 students, 12 students like pizza, 13 students like burgers, and 5 students like both pizza and burgers. If a student is chosen at random, what is the probability that the student likes either pizza or burgers?
*
1/2
3/5
2/3
5/6
To calculate the probability that the student likes either pizza or burgers, we need to add the number of students who like pizza and the number of students who like burgers, and then subtract the students who like both since they were counted twice.
Students who like pizza: 12
Students who like burgers: 13
Students who like both: 5
Total students who like pizza or burgers (without double counting the students who like both): 12 + 13 - 5 = 20
Therefore, the probability that a student chosen at random likes either pizza or burgers is 20/30 = 2/3.
So the correct answer is: 2/3