First slide

Operations on Sets

Question

Let A and B be two sets such that $n (A) = 0.16, n (B) = 0.14, n (A \cup B) = 0.25$ . Then $n (A \cap B)$ is equal to

Easy

A

0.3
B

0.5
C

0.05
D

None of these

Solution

$n (A \cup B) = n (A) + n (B) - n (A \cap B)$
$0.25 = 0.16 + 0.14 - n (A \cap B)$
$\Rightarrow n (A \cap B) = 0.30 - 0.25 = 0.05 .$

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