Two dice are rolled. What is the possibility of rolling an odd number and a 2.
To calculate the probability of rolling an odd number and a 2, we need to determine the number of favorable outcomes and divide it by the total possible outcomes.
There are three possible ways to roll an odd number with two dice: (1, 2), (3, 2), and (5, 2). So, there are three favorable outcomes.
There are a total of 6 possible outcomes for the first die (1, 2, 3, 4, 5, 6), and similarly, 6 possible outcomes for the second die.
Since the two dice are independent, the total number of possible outcomes is the product of the possible outcomes for each die, which is 6 * 6 = 36.
Therefore, the probability of rolling an odd number and a 2 is 3/36 or 1/12.
To determine the probability of rolling an odd number and a 2 when two dice are rolled, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
Step 1: Determine the favorable outcomes
To get an odd number on a single die, we have three possible outcomes (1, 3, or 5). The only way to get a 2 on the other die is one particular outcome.
Therefore, the number of favorable outcomes is 3 (odd number) x 1 (2) = 3.
Step 2: Determine the total number of outcomes
When rolling two dice, every die has 6 possible outcomes. Thus, the total number of outcomes is 6 x 6 = 36.
Step 3: Calculate the probability
The probability is then calculated by dividing the number of favorable outcomes by the total number of outcomes:
Probability = favorable outcomes / total outcomes = 3 / 36 = 1 / 12.
Therefore, the probability of rolling an odd number and a 2 when two dice are rolled is 1/12.