Question
Two dice are thrown at the same time. Find the probability of getting:
- Same number on both dice.
- Different numbers on both dice.
✓
Answer
Two dice are thrown at the same time. [given]
So, total number of possible outcomes = 36
$\therefore$ Number of possible outcomes = 6
Now, required probability $=\frac{6}{36}=\frac{1}{6}$
= 36 - Number of possible outcomes for same number on both dice
= 36 - 6 = 30
$\therefore\ \text{Required probability}=\frac{30}{36}=\frac{5}{6}$
So, total number of possible outcomes = 36
- We have, same number on both dice.
$\therefore$ Number of possible outcomes = 6
Now, required probability $=\frac{6}{36}=\frac{1}{6}$
- We have, different number on both dice.
= 36 - Number of possible outcomes for same number on both dice
= 36 - 6 = 30
$\therefore\ \text{Required probability}=\frac{30}{36}=\frac{5}{6}$
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