Question

A number cube has sides numbered 1 through 6. The probability of rolling a 2 is 16 .

What is the probability of not rolling a 2?

Enter your answer as a fraction, in simplest form, in the box.

Answer 1

6 numbers rolling a 2 = 1/6
so rolling something other than a 2 would be 5/6

Answer 2

Answer: The probability of not rolling a 2 is
`(5)/(6).`

Step-by-step explanation: Given that a number cube has sides numbered 1 through 6. And the probability of rolling a 2 is
`(1)/(6).`

We are to find the probability of not rolling a 2.

Let, 'A' denotes the event of rolling a 2.

So, we have

`P(A)=(1)/(6).`

The event of not rolling a 2 is given by the complement of event A.

The probability of the complement of event 'A' can be calculated as

`P(A')=1-P(A)=1-(1)/(6)=(5)/(6).`

Thus, the probability of not rolling a 2 is
`(5)/(6).`