Two standard dice are rolled. What is the probability of rolling doubles (both the same number)
There are 6 possible outcomes for each of the dice rolls, giving a total of 6 * 6 = 36 possible outcomes when rolling two dice. Out of these 36 outcomes, there are 6 outcomes that result in doubles (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).
Therefore, the probability of rolling doubles is 6/36 = 1/6, or approximately 0.167 or 16.7%.
To find the probability of rolling doubles with two standard dice, we need to determine the number of successful outcomes (rolling doubles) and the total number of possible outcomes.
There are 6 possible outcomes for each die roll, ranging from 1 to 6. Since we have two dice, the total number of possible outcomes is 6 * 6 = 36.
For each possible number rolled on the first die, there is only one corresponding outcome that will result in a double. For example, if the first die rolls a 1, the only way to roll doubles is if the second die also rolls a 1. The same applies to all the other numbers from 2 to 6.
Therefore, there are 6 successful outcomes for rolling doubles.
Hence, the probability of rolling doubles is 6/36, which simplifies to 1/6 or approximately 0.1667.