Question no1:

There is a 60% chance that the event will occur. If event A does not occur, then there is a 10% chance that event B will occur.

1. What is the probability that at least one of events A or B will occur?

2. If event A is that Mickey Mouse wins an Oscar in 2025 and event B is that there will be a volcanic eruption in the Canary Islands sometime in 2026, which would take the probability that both events occur?

Question no 2:

On three cards, one is red on both sides; one is black on both sides; and one is red on one side and black on the other. A card is chosen at random and placed on the table. If the visible side is red, what is the probability that the other side is also red?