Answer:
1/12
Explanation:
The probability of getting an odd number and having one of the dice show a 1 can be determined by considering the possible outcomes.
When rolling two dice, there are a total of 36 equally likely outcomes (6 possibilities for the first die multiplied by 6 possibilities for the second die).
To find the probability of getting an odd number and having one of the dice show a 1, we need to determine the favorable outcomes, which are the outcomes that meet both conditions.
First, let's consider the odd number condition. Out of the six possible outcomes for each die (1, 2, 3, 4, 5, 6), there are three odd numbers (1, 3, 5). So, the probability of getting an odd number on one die is 3/6 or 1/2.
Next, let's consider the condition of having one of the dice show a 1. Out of the six possible outcomes for each die, only one outcome has a 1 (1, 2, 3, 4, 5, 6). So, the probability of having one of the dice show a 1 is 1/6.
To find the probability of both conditions being met, we multiply the probabilities together:
Probability of getting an odd number and having one of the dice show a 1 = Probability of getting an odd number * Probability of having one of the dice show a 1
= 1/2 * 1/6
= 1/12
Therefore, the probability of getting an odd number and having one of the dice show a 1 is 1/12.
Note: Used AI