Sample Space Examples for Dice, Coins, and Spinners (Grade 7)

📚 Quick Study Guide

• 🎲 A sample space is the set of all possible outcomes of a random experiment.
• 🪙 When tossing a coin, the sample space is {Heads, Tails}.
• 🔢 When rolling a six-sided die, the sample space is {1, 2, 3, 4, 5, 6}.
• ➗ The number of elements in the sample space is important for calculating probabilities.
• 💡 For multiple events, like tossing two coins, you multiply the possibilities: $2 \times 2 = 4$.
• ✨ Use tree diagrams or tables to visualize sample spaces, especially for more complex scenarios.

🎯 Practice Quiz

1. What is the sample space for flipping a coin once?
   1. {Heads}
   2. {Tails}
   3. {Heads, Tails}
   4. {Neither}
2. What is the sample space for rolling a six-sided die?
   1. {1, 2, 3}
   2. {2, 4, 6}
   3. {1, 3, 5}
   4. {1, 2, 3, 4, 5, 6}
3. A spinner has 4 equally sized sections labeled 1, 2, 3, and 4. What is the sample space for spinning it once?
   1. {1, 2}
   2. {3, 4}
   3. {1, 2, 3, 4}
   4. {0, 1, 2, 3, 4}
4. What is the sample space for flipping a coin twice?
   1. {Heads, Tails}
   2. {Heads, Heads}
   3. {Tails, Tails}
   4. {HH, HT, TH, TT}
5. What is the sample space for rolling a die and then flipping a coin?
   1. {1, 2, 3, 4, 5, 6}
   2. {Heads, Tails}
   3. {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}
   4. {7, 8, 9, 10, 11, 12}
6. A bag contains a red (R), a blue (B), and a green (G) ball. One ball is drawn. What is the sample space?
   1. {Red, Blue}
   2. {Green}
   3. {Red, Blue, Green}
   4. {White, Black}
7. What is the sample space if you spin a spinner with 3 sections (A, B, C) and flip a coin?
   1. {A, B, C}
   2. {H, T}
   3. {AH, AT, BH, BT, CH, CT}
   4. {1, 2, 3, 4, 5, 6}