Question

If two dice are thrown simultaneously, then what is the probability that the product of the numbers obtained is a perfect square number.

• A.
  $\frac{1}{12}$
• B.
  $\frac{1}{9}$
• C.
  $\frac{5}{36}$
• D.
  
  $\frac{1}{6}$
  

Answer 1

The correct option is D


$\frac{1}{6}$

Let 'E' be the event of getting a perfect square number.
Number of outcomes = 36
Favorable outcomes are {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}.
Number of favorable outcomes = 6
$\text{Probability P(E)}$ = $\frac{\text{Number of outcomes favourable to E}}{\text{Number of all possible outcomes of the experiment}}$

$\therefore P\left(E\right)=\frac{6}{36}=\frac{1}{6}$