What is probability of rolling a 5 on fair, six - sided number cube if you know that you rolled an odd number?

The probability is 1/3 to get a 5 if a die rolled an odd number.

Step-by-step explanation:

A six-sided fair cube with numbers from 1 to 6 have the possible outcomes such as {1,2,3,4,5,6}.

Of those six outcomes, you already know that you rolled an odd number. Now, the total outcomes would be the odd numbers such as {1,3,5}.

The total no. of outcomes with odd numbers is {1,3,5} = 3 outcomes.

To find the probability to get a 5:

Probability (get a 5) = No. of outcomes with 5 / Total no. of odd outcomes.

We know that,

There is only one possibility to get a 5 out of 3 odd outcomes.

⇒ P (get a 5) = 1/3

∴ The probability is 1/3 to get a 5 if a die rolled an odd number.