Suppose that you are rolling a six sided dice. Let A = get a number smaller than 2 What is P(Ac)?

A die has 6 faces with the numbers 1,2,3,4,5 and 6 one on each

of the six faces.Considering an unbaised die the probability of any

of the faces to appear in a single roll is 1/6.

So,

P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6

Now that number smaller than 2 is “1”

P(A) = 1/6

P(Ac) = 1 – P(A) = 1 – ( 1/6 ) = 5/6