Question

A fair 6-sided die is rolled. What is the probability that the number rolled was a 3 if

you know the number was odd?
Round to the nearest hundredth (2 decimal places)

Answer 1

The probability that the number rolled was a 3 if you know the number was odd is 1/3 or 0.33.

Answer 2

`\huge\boxed{\sf Probability = 0.33}`

Explanation:

Numbers on a 6-sided die = 6

Odd numbers = 3 (1,3,5)

Probability of having a 3:

If we know that the number is odd, then the number of total outcomes is 3.

So,

Among all those 3 odd numbers, 3 only occurs once.

Probability = number of possible outcomes / total no. of outcomes

Probability = 1/3

Probability = 0.33

`\rule[225]{225}{2}`