28 Jun, 2021 02:58 PM

Suppose that you are rolling a six sided dice. Let A = get a number smaller than 2 What is P(Ac)? Answer is Either: 4/6 3/6 5/6?

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AR
28 Jun, 2021 02:59 PM

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 :)

BE
28 Jun, 2021 02:59 PM

Rule

 P(Ac) = 1 -  P(A)






GE
28 Jun, 2021 02:59 PM

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








BR
28 Jun, 2021 02:59 PM











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 !