SOLUTION: A single die is rolled twice. Find the probability of rolling an odd number the first time and a number less than 3 the second time. thank you for your help!

Algebra ->  Permutations -> SOLUTION: A single die is rolled twice. Find the probability of rolling an odd number the first time and a number less than 3 the second time. thank you for your help!      Log On


   

Question 220982: A single die is rolled twice. Find the probability of rolling an odd number the first time and a number less than 3 the second time.
thank you for your help!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The 6 sides of the die are numbered 1,2,3,4,5,6
There are 3 odd and 3 even numbers
probability of an odd number on 1st roll is
3%2F6+=+1%2F2
When you want A AND B probabilities, you multiply
the events A and B
The number less than 3 are 1,2, so the probability is
2%2F6+=+1%2F3
And the probability of getting both these events is
%281%2F2%29+%2A+%281%2F3%29+=+1%2F6