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