Jambmaths question:
In a class of 60 students, 30 offers physics and 40 offers chemistry. If a students is picked at random from the class, what is the probability that the student offer both physics and Chemistry?
Option A:
$\tfrac{1}{2}$
Option B:
$\tfrac{1}{6}$
Option C:
$\tfrac{1}{4}$
Option D:
$\tfrac{1}{3}$
Jamb Maths Solution:
60 = 30 – x + x + 40 – x
60 = 70 – x
x = 10
$n(P\cap C)=10$
$\text{Prob(}P\cap C)=\frac{10}{60}=\frac{1}{6}$
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