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

Question

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

The answer is Either: 4/6 3/6 5/6?

Answer 1

Ac in this context means A-complement, or "everything that is NOT in A".

So if A = less than 2, then Ac = anything 2 or greater.

Out of the 6 possible outcomes, 5 of them {2, 3, 4, 5, 6} are in Ac.

So P(Ac) = 5/6.

Hope that helps :)

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Answer 2

Rule

P(Ac) = 1 - P(A)

or

you roll one die.

you roll two dice.

if you roll a 6 sided die, then P(A)=1/6 and its complement would be P(Ac)=5/6

or

I guess that notation must mean the probability of the complement of A.

So it's 5/6. You will almost always NOT get a number smaller than 2 !

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