Probability Experiment Examples: Coin Toss, Dice Roll & Spinner Data

📚 Quick Study Guide

• 🪙 Coin Toss: Two possible outcomes (Heads or Tails). The probability of each outcome is typically $\frac{1}{2}$ or 50%, assuming a fair coin.
• 🎲 Dice Roll: A standard six-sided die has outcomes 1 through 6. The probability of rolling any specific number is $\frac{1}{6}$, assuming a fair die.
• 🧮 Spinner: Probability depends on the sections' sizes. If a spinner has 4 equal sections, the probability of landing on any one section is $\frac{1}{4}$.
• 🧪 Probability Formula: Probability of an event = $\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$
• 📊 Experimental Probability: Determined by conducting experiments and observing outcomes. It may differ from theoretical probability, especially with a small number of trials.
• 📈 Data Collection: Crucial for analyzing and understanding probabilities. Record all outcomes accurately.
• 🧐 Independent Events: The outcome of one event does not affect the outcome of another (e.g., multiple coin tosses).

Practice Quiz

1. A fair coin is tossed. What is the probability of getting tails?

   1. $\frac{1}{4}$
   2. $\frac{1}{3}$
   3. $\frac{1}{2}$
   4. $\frac{2}{3}$

2. A standard six-sided die is rolled. What is the probability of rolling a 4?

   1. $\frac{1}{8}$
   2. $\frac{1}{6}$
   3. $\frac{1}{4}$
   4. $\frac{1}{2}$

3. A spinner has 5 equal sections, numbered 1 to 5. What is the probability of landing on an even number?

   1. $\frac{1}{5}$
   2. $\frac{2}{5}$
   3. $\frac{3}{5}$
   4. $\frac{4}{5}$

4. A coin is tossed twice. What is the probability of getting heads on both tosses?

   1. $\frac{1}{8}$
   2. $\frac{1}{6}$
   3. $\frac{1}{4}$
   4. $\frac{1}{2}$

5. A die is rolled. What is the probability of NOT rolling a 1?

   1. $\frac{1}{6}$
   2. $\frac{2}{6}$
   3. $\frac{3}{6}$
   4. $\frac{5}{6}$

6. A spinner has 3 sections: red, blue, and green. The probability of landing on red is $\frac{1}{2}$, blue is $\frac{1}{3}$. What is the probability of landing on green?

   1. $\frac{1}{6}$
   2. $\frac{1}{5}$
   3. $\frac{1}{4}$
   4. $\frac{1}{3}$

7. Two dice are rolled. What is the probability that the sum of the numbers rolled is 7?

   1. $\frac{1}{12}$
   2. $\frac{1}{6}$
   3. $\frac{1}{4}$
   4. $\frac{1}{3}$