Question

In a single throw of two dice what is the probability of not getting the same number on both the dice ?

• A. $\frac{1}{6}$
• B. $\frac{2}{3}$
• C. $\frac{5}{6}$
• D. $\frac{1}{3}$

Answer 1

Answer: (C)

$\frac{5}{6}$

Since, There are 36 elements in Sample space.
Let A be the event getting the same no. on both dice.
then A= {$(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)$}
no. of elements in A = $6$
$\therefore$ no. of elements that are not in A are = $36-6=30$
$\therefore$ P( not getting the same number on both the dice) = $\frac{30}{36}=\frac{5}{6}$
$\therefore$ Option C is correct.