Correct Answer - Option 2 : 91/216
Formula used:
Probability = Favourable outcomes/Total number of outcomes
Concept used:
When three dice are thrown then the total number of outcomes = 63 = 216
Calculation:
Total number of outcomes = 216
The probability of not getting 3 on a single die = 5/6
The probability of not getting 3 on all 3 dice = (5/6)3 = 125/216
The probability of getting 3 on at least one die = 1 – The probability of not getting 3 on all 3 dice
⇒ 1 – (125/216)
⇒ 91/216
∴ The required probability is 91/216