Suppose that you are rolling a six-sided die. Let A = get a number smaller than 3. What is P(A^C)?

Solution:

It is given that a six-sided die is rolled

A is to get a number smaller than 3

A^C refers to A-Complement or “everything which is not in A”.

As A = get a number smaller than 3

A^C = Is 3 or greater than 3

We know that

Out of the 6 possible outcomes, 4 of them {3, 4, 5, 6} are in A^C

We get the probability = the number of favorable outcomes/total number of outcomes

P(A^C) = 4/6 = 2/3

Therefore, P(A^C) is 2/3.

Suppose that you are rolling a six-sided die. Let A = get a number smaller than 3. What is P(A^C)?

Summary:

Suppose that you are rolling a six-sided die. Let A = get a number smaller than 3. P(A^C) is 2/3.