What is the probability when you roll 2 dice and you roll a number greater than 4 on the first dice and a 2 on the second dice?

pls help :)

To calculate the probability of rolling a number greater than 4 on the first die and a 2 on the second die, we need to determine two things:

1. The number of outcomes where the first die shows a number greater than 4.
2. The number of outcomes where the second die shows a 2.

Step 1: Determine the number of outcomes where the first die shows a number greater than 4.
There are 6 possible outcomes when rolling a single die: {1, 2, 3, 4, 5, 6}.
Out of these 6 outcomes, there are 2 outcomes where the number on the first die is greater than 4: {5, 6}.

Step 2: Determine the number of outcomes where the second die shows a 2.
Similarly, there are 6 possible outcomes when rolling a single die.
But in this case, there is only 1 outcome where the number on the second die is 2: {2}.

Step 3: Calculate the total number of favorable outcomes.
Since we are looking for the outcomes where both conditions are met, we need to find the intersection of the two sets of favorable outcomes.
In this case, the intersection is {6} because it is the only outcome that satisfies both conditions simultaneously.

Step 4: Calculate the total number of possible outcomes.
When rolling two dice, the total number of possible outcomes is the product of the number of outcomes for each die. Here, it would be 6 outcomes for each die, so a total of 6 * 6 = 36 possible outcomes.

Step 5: Calculate the probability.
The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. So, the probability can be calculated as:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 1 / 36.

Therefore, the probability of rolling a number greater than 4 on the first die and a 2 on the second die is 1/36 or approximately 0.0278.