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Out of 50 students taking a midterm psychology exam, 21 answered the first of two bonus questions, 37 answered the second bonus question, and 2 didn't bother with either one. What percentage of students tried both questions?

Respuesta :

Answer: Therefore, 16% of the students tried both bonus questions.

Step-by-step explanation:

To find the percentage of students who tried both questions, we need to first determine how many students answered each bonus question separately and how many didn't attempt either question.lets break down the information given:- 21 students answered the first bonus question- 37 students answered the second bonus question- 2 students didn't attempt either question To find the number of students who tried both questions, we can use the principle of inclusion-exclusion:Total students who tried at least one question = Students who answered the first question + Students who answered the second question - Students who didn't attempt either question. This means that 56 students tried at least one of the questions. However, we need to find the percentage of students who tried both questions, which is the intersection of students who answered both questions.Let's denote:- A: Students who answered the first question- B: Students who answered the second question.