If four appear on the first dice the solution set will be
4,3
4,4
4,5
4,6
so the probability to get feasable outcome will be
4/36

Probability of Getting a Number Greater than 7 with a 4 on the First Die

To find the probability of getting a number greater than 7 when rolling two dice, we need to consider all the possible outcomes and determine how many of them satisfy the given condition. In this case, we are given that the first die shows a 4.

Step 1: Determine the possible outcomes
- When rolling two dice, each die has six possible outcomes, which are the numbers 1 to 6.
- Therefore, the total number of possible outcomes when rolling two dice is 6 * 6 = 36.

Step 2: Determine the favorable outcomes
- We are given that the first die shows a 4. So, we only need to consider the outcomes where the first die shows a 4.
- The possible outcomes where the first die shows a 4 are (4,1), (4,2), (4,3), (4,4), (4,5), and (4,6).

Step 3: Calculate the probability
- The probability is given by the formula: Probability = Number of favorable outcomes / Total number of possible outcomes.
- In this case, the number of favorable outcomes is 6 (as determined in step 2), and the total number of possible outcomes is 36 (as determined in step 1).
- Therefore, the probability of getting a number greater than 7 when the first die shows a 4 is 6/36 = 1/6.

Conclusion:
- The probability of getting a number greater than 7, given that the first die shows a 4, is 1/6.