if you roll 3 dice what is the Probability of Rolling atleas

if you roll 3 dice, what is the Probability of Rolling atleast one \"1\" (i.e,. #\'s 1 greater or equal to 1)

Solution

Probability of Rolling no \"1\" in roll of one dice:
favourable case = 5 {any outcome among 2,3,4,5,6}
total case = 6{any outcome among 1,2,3,4,5,6}
so,
Probability of Rolling no \"1\" in roll of one dice = favourable case/total case = 5/6
so,
Probability of Rolling no \"1\" in roll of three dice = (5/6)^3

Probability of Rolling atleast one \"1\"
= 1- Probability of Rolling no \"1\"
= 1- (5/6)^3
= 1- 125/216
= 91/126
= 0.4213