JAMB Mathematics 2002 Question 43

Question 43

Probability

The venn diagram above shows the number of students offering Music and History in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?

Diagram for this question
  1. A.0.38
  2. B.0.13
  3. C.0.50
  4. D.0.25
Show the answer and explanation

Answer: D (0.25)

Explanation

(30 − x) + x + (40 − x) + 20 = 80 gives x = 10. Music only is 30 − 10 = 20 students, so the probability is 20/80 = 0.25.