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.

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Answer: [tex]\dfrac{5}{6}[/tex]

Step-by-step 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)=[tex]\dfrac{1}{6}[/tex].

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

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

[tex]=1-\dfrac{1}{6}=\dfrac{6-1}{6}=\dfrac{5}{6}[/tex].

Hence, the  probability of not rolling a 5 =[tex]\dfrac{5}{6}[/tex]

Answer: the answer is 5/6

Step-by-step explanation: I took the quiz

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