passpadi

2002

Mathematics

JAMB

The venn diagram above shows the numbers 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?

A.

0.38

B.

0.13

C.

0.50

D.

0.25

Correct Answer: 0.25

Explanation

30 - x + x + 40 - x = 80 - 20 70 - x = 60 - x = 60 - 70 - x = - 10 ∴ x = 10 Music only = 30 - x = 30 - 10 20 P(music only) = 20/80 = 1/4 = 0.25

30 - x + x + 40 - x = 80 - 20 70 - x = 60 - x = 60 - 70 - x = - 10 ∴ x = 10 Music only = 30 - x = 30 - 10 20 P(music only) = 20/80 = 1/4 = 0.25
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