two dice are rolled. what is the probability of rolling a 3 and 2?
To determine the probability of rolling a 3 and a 2 when two dice are rolled, we first need to find the total number of possible outcomes.
When rolling two dice, each die has 6 sides, so there are 6 possible outcomes for each die. Therefore, the total number of possible outcomes is 6 * 6 = 36.
Next, we determine the number of favorable outcomes, which in this case is the number of ways to roll a 3 and a 2.
When rolling two dice, the only way to roll a 3 and a 2 is if one die shows a 3 and the other die shows a 2. There is only one combination with these outcomes: (3, 2).
Therefore, the number of favorable outcomes is 1.
Finally, we calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: 1/36.
Hence, the probability of rolling a 3 and a 2 when two dice are rolled is 1/36.
To find the probability of rolling a 3 and 2 on two dice, we first need to determine the total number of possible outcomes.
Each die can roll from 1 to 6, so the total number of outcomes is the product of the sides on each die, which is 6 * 6 = 36.
Now let's determine the outcomes that result in rolling a 3 and 2.
There are two ways to roll a sum of 3: (1,2) and (2,1).
Therefore, the probability of rolling a 3 on two dice is 2/36.
Similarly, there is only one way to roll a sum of 2: (1,1).
Therefore, the probability of rolling a 2 on two dice is 1/36.
Since we are interested in rolling a 3 and 2 together, we need to multiply the probabilities of rolling a 3 and rolling a 2 together.
Probability of rolling a 3 and 2 = Probability of rolling a 3 * Probability of rolling a 2
= (2/36) * (1/36)
= 2/1296
Hence, the probability of rolling a 3 and 2 on two dice is 2/1296.