In this question, the condition asked is two which was 1. The dice sum >7 (notice that >7 mean at least 8) 2. One of the two dice show a 2
It will be easier to fulfill the No.2 condition first so you can divide the probability into two, Case 1: 1st dice show 2: then the second dice need to be 6 to made it sum>7 Case 2:2nd dice show 2: then the second dice need to be 6 to made it sum>7
The probability for a dice showing 2 is 1/6. The probability for a dice showing 6 is 1/6. Then the probability is 1/6 * 1/6= 1/36 for each case Since case 1 and case 2 has same probability, then you just need to multiply 1/36 *2 = 1/18
