Question

A number cube with six sides numbered 1 through 6 is rolled. The probability of rolling a 5 is 16 . What is the probability of not rolling a 5? Enter your answer as a fraction, in simplest form, in the box.

Answer 1

Answer: the answer is 5/6

Step-by-step explanation: I took the quiz

Answer 2

Answer:
`(5)/(6)`

Explanation:

For any event A , the probability of not getting A is given by :-

P(not A)= 1- P(A)

Given : A number cube with six sides numbered 1 through 6 is rolled.

Then we have,

The total number of possible outcomes = 6

Also, it is given that , The probability of rolling a 5 is

P(rolling 5)=
`(1)/(6)`.

Now, the probability of not rolling a 5 will be :-

P(not rolling a 5)= 1- P(rolling 5)

`=1-(1)/(6)=(6-1)/(6)=(5)/(6)`.

Hence, the probability of not rolling a 5 =
`(5)/(6)`