Question

You roll a standard number cube. Find P(number is not 3).

Answer 1

Answer[:]
C) 5/6

You roll a standard cube. You want to find P, and P is NOT rolling the number 3. Rolling the number 3 would be a 1/6 chance because that is 1 outcome of 6 chances. The probability of not rolling a three would be 5/6. It's a higher probability, as well.

-Brainly Answerer

Answer 2

There are 6 possible outcomes {1,2,3,4,5,6} which makes up the sample space.

The event space is the set of items in which we want to happen, which is this set {1,2,4,5,6}. Basically this is the set mentioned earlier but we kicked out '3'.

There are 5 items in the event space out of 6 items in the sample space. This is why the answer is C) 5/6

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Or you can think of it this way:

The probability of rolling a "3" is 1/6 because there is one "3" out of 6 total

The probability of not rolling a 3 is going to be 1 minus that result
P(not rolling 3) = 1 - P(rolling a 3)
P(not rolling 3) = 1 - (1/6)
P(not rolling 3) = 6/6 - 1/6
P(not rolling 3) = (6-1)/6
P(not rolling 3) = 5/6

Either way, the answer is 5/6