Question

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is

• A.
  $\frac{1}{8}$
• B.
  $\frac{1}{36}$
• C.
  $\frac{1}{4}$
• D.
  $\frac{1}{12}$

Answer 1

The correct option is C

$\frac{1}{4}$
Probability of getting even number on a dice
$=\frac{3}{6}=\frac{1}{2}$

$\because$ Two dice are rolled simultaneously

Hence, probability of an even number rolled out on each dice

$=\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}$