To determine the sample space for flipping a two-sided tile with one black side and one white side three times, we need to list all possible outcomes for each sequence of three flips. Each flip has two possible outcomes: black or white.
When flipping the tile three times, the possible outcomes are as follows:
1. Black, Black, Black
2. Black, Black, White
3. Black, White, Black
4. Black, White, White
5. White, Black, Black
6. White, Black, White
7. White, White, Black
8. White, White, White
Thus, the complete sample space for flipping the tile three times is:
- (Black, Black, Black)
- (Black, Black, White)
- (Black, White, Black)
- (Black, White, White)
- (White, Black, Black)
- (White, Black, White)
- (White, White, Black)
- (White, White, White)
So the table given in your question should be corrected. One possibility is missing in the second table.
