SOLUTION: You roll a 6-sided die two times. What is the probability of rolling an odd number and then rolling a 3? Simplify your answer and write it as a fraction or whole number.

Algebra ->  Probability-and-statistics -> SOLUTION: You roll a 6-sided die two times. What is the probability of rolling an odd number and then rolling a 3? Simplify your answer and write it as a fraction or whole number.       Log On


   

Question 1160474: You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.

The question is provided in the link here: https://i.imgur.com/YsNuGSN.png
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: 1/12

How to get this answer:
The probability of rolling an odd number is 1/2 because there are half as many odd numbers compared to even numbers on a six-sided die. You can think of it as 3 odd numbers out of 6 total, so 3/6 = 1/2 is the probability of getting an odd number.

The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.

Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12
The two events are independent from one another.