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)?
Answer & explanation
Correct answer: option 1
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, $B=\{1,2,3\}$
$P(B)=\frac{3}{6}=\frac{1}{2}$
$⇒A ∩ B =\{2\}$
$⇒P(A ∩ B) = \frac{1}{6}$