Two dice are thrown at the same time what is the probability of obtaining a 2and a 3
To find the probability of obtaining a 2 and a 3 when two dice are thrown, we first need to determine the total number of possible outcomes. Since each dice has 6 sides, there are a total of 6 possible outcomes for the first dice and 6 possible outcomes for the second dice, making a total of 6 x 6 = 36 possible outcomes.
Now, let's determine the number of favorable outcomes, which is the outcome of obtaining a 2 and a 3. There are two ways to obtain a 2 and a 3: choosing a 2 for the first dice and a 3 for the second dice, or choosing a 3 for the first dice and a 2 for the second dice. Therefore, there are 2 favorable outcomes.
The probability of obtaining a 2 and a 3 when two dice are thrown is given by the ratio of favorable outcomes to total outcomes:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 2 / 36
Probability = 1 / 18
Therefore, the probability of obtaining a 2 and a 3 when two dice are thrown is 1/18.