Help with Probability

[erod09]

Hello,

The question I am stuck on is:

If a die is rolled 5 times, find the probability of getting at least one 6.

I am thinking the formula to use is P(E) = 1-P

so I put (5/6) to the 5th power and then subtrat 1 from that answer?

anyone?

 

[Aladdin]

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Welcome erod09 ::

The probability to roll any number : 1,2,3,4,5,6 is the same.

If I was rolling the die for the first time the probability to get any number is (1/6), Right !

If I was rolling the die for the nth time the probability to get any number is (1/6)^n

When you're asked to find the probability of an At Least event always use the complementary.I mean for the question you're asking for :

So the probability of rolling at least one 6 = 1- the probability of rolling no 6's.

P(A') = 1 - p(A)
P(A') = 1 - (5/6)^5