Question

Two dice are thrown at the same time. Find the probability of getting different number on both dice

Answer 1

Finding the probability of getting different number on both dice:

When two dice are thrown simultaneously, the total number of possible outcomes $=36$

$\begin{array}{rcl}\mathrm{Number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}& =& 36–\mathrm{Number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}\mathrm{for}\mathrm{same}\mathrm{number}\mathrm{on}\mathrm{both}\mathrm{dice}\\ & =& 36–6\end{array}$

$=30$

Hence,

Required probability $=\frac{30}{36}=\frac{5}{6}$

Hence, probability of getting different number on both dice is $\frac{5}{6}$