Out of forty students, there are 14 who are taking Physics and 29 who are…
2024
Out of forty students, there are 14 who are taking Physics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class?
- A.
11/20
- B.
13/20
- C.
13/29
- D.
19/22
Attempted by 15 students.
Show answer & explanation
Correct answer: B
Answer: 13/20
Reason:
Total students = 40; Physics = 14; Calculus = 29.
Use inclusion–exclusion to find students taking both subjects: both = 14 + 29 - 40 = 3.
Students taking only Calculus = Calculus total − both = 29 - 3 = 26.
Probability = number taking only Calculus ÷ total students = 26/40 = 13/20