Real-world examples of experimental probability for 6th grade

📚 Quick Study Guide

🧪 Experimental Probability: The probability of an event happening based on the results of an experiment or real-world trials. 🎲 Formula: $P(event) = \frac{Number\ of\ times\ the\ event\ occurs}{Total\ number\ of\ trials}$ 📈 Trials: Each time you perform the experiment is called a trial. 📊 Data Collection: Recording the outcomes of each trial is crucial for calculating experimental probability. 💡 Real-world Applications: Used in weather forecasting, sports analytics, and quality control.

Practice Quiz

1. What is the experimental probability of rolling a 3 on a six-sided die if you roll it 50 times and get a 3 seven times?
   1. $\frac{7}{50}$
   2. $\frac{1}{6}$
   3. $\frac{50}{7}$
   4. $\frac{6}{50}$
2. A coin is flipped 100 times, and it lands on heads 55 times. What is the experimental probability of landing on tails?
   1. $\frac{55}{100}$
   2. $\frac{45}{100}$
   3. $\frac{1}{2}$
   4. $\frac{100}{55}$
3. Sarah shoots 25 free throws and makes 18 of them. What is the experimental probability that she will make her next free throw?
   1. $\frac{18}{25}$
   2. $\frac{7}{25}$
   3. $\frac{25}{18}$
   4. $\frac{1}{2}$
4. In a bag of 40 marbles, 12 are blue. If you randomly pick a marble, what is the experimental probability that it will be blue?
   1. $\frac{12}{40}$
   2. $\frac{28}{40}$
   3. $\frac{40}{12}$
   4. $\frac{1}{40}$
5. A spinner has four equal sections: red, blue, green, and yellow. It is spun 80 times. Red comes up 22 times. What is the experimental probability of spinning red?
   1. $\frac{22}{80}$
   2. $\frac{1}{4}$
   3. $\frac{80}{22}$
   4. $\frac{58}{80}$
6. John observes birds in his backyard for a week. He sees 35 birds, of which 10 are robins. What is the experimental probability that the next bird he sees will be a robin?
   1. $\frac{10}{35}$
   2. $\frac{25}{35}$
   3. $\frac{35}{10}$
   4. $\frac{1}{35}$
7. A weather forecast predicts a 30% chance of rain based on past data. If the weather patterns are similar, what is the experimental probability of it raining tomorrow?
   1. $\frac{30}{100}$
   2. $\frac{70}{100}$
   3. $\frac{1}{3}$
   4. $\frac{1}{100}$