Question

If two dice are rolled simultaneously, then what is the probability of getting the LCM of numbers as 6?

• A.
  $\frac{1}{6}$
• B.
  $\frac{7}{36}$
• C.
  $\frac{2}{9}$
• D.
  $\frac{1}{4}$

Answer 1

The correct option is D

$\frac{1}{4}$
Total number of outcomes =36
Favourable outcomes whose LCM is equal to 6 ={(1, 6), (2, 3), (2, 6), (3, 2), (3, 6), (6, 1), (6, 2), (6, 3), (6, 6)}
Number of favorable outcomes = 9
For an event $\text{E, Probability P(E)}=\frac{\text{Number of outcomes favourable to E}}{\text{Number of all possible outcomes of the experiment}}$

$P(LCM=6)=\frac{9}{36}=\frac{1}{4}$