Those are lovely homework problems. Please provide your attempts at a solutions. Someone will help you overcome whatever stumbling block may be so exposed.
A fair white die has 1, 2, 3, 4, 5, 5 printed on its 6 faces, and a fair red die has
1, 1, 2, 3, 4, 5 printed on its 6 faces.
(b) The white die is rolled once and the red die is rolled twice. Use the event composition method to find the (single) probability that the number coming up on the white die is less than 4, or neither of the numbers coming up on the red die is 1.
(c) The two dice are rolled together repeatedly until different numbers come up. Find the probability that the total of the numbers coming up on the final roll of the two dice is exactly 6.