A die, whose faces are marked 1, 2, 3 in red, and 4,5,6 in green, is tossed. Let A be the event “number obtained is even” and B be the event “number obtained is red”. Then what is the value of P(A ∩ B)?

1/6

Sample space, $S=\{1,2,3,4,5,6\}$

Identity event, $A=\{2,4,6\}$

$P(A)=\frac{3}{6}=\frac{1}{2}$

Red numbers on Die, $B=\{1,2,3\}$

$P(B)=\frac{3}{6}=\frac{1}{2}$

$⇒A ∩ B =\{2\}$

$⇒P(A ∩ B) = \frac{1}{6}$