Two 6 sided dice are rolled. What is the probability that the sum is odd and one of the dice is a 5? Answer in fractions! Thanks so much bot!
To find the probability that the sum is odd and one of the dice is a 5, we need to consider the possible outcomes that satisfy both conditions.
The sum of two numbers is odd if and only if one of them is even and the other is odd. In this case, one of the dice must be odd and the other must be even.
There are a total of 6 possible outcomes for each die (since each die has 6 sides), so there are 6 x 6 = 36 total outcomes when two 6-sided dice are rolled.
Let's analyze the possible outcomes where one of the dice is a 5:
1. The first die is 5 and the second die is odd: There is only one odd number on a standard die, so there is only 1 outcome for this case.
2. The first die is 5 and the second die is even: There are three even numbers on a standard die, so there are 3 outcomes for this case.
Therefore, the total number of outcomes that satisfy both conditions is 1 + 3 = 4.
So, the probability that the sum is odd and one of the dice is a 5 is 4/36.
Simplifying the fraction, we get 1/9 as the final answer.
Hence, the probability is 1/9.