Formula for Experimental Probability Explained with Examples

📚 Quick Study Guide

• 🧪 Experimental probability is based on actual experiments or trials.
• 🔢 The formula is: $P(event) = \frac{Number \ of \ times \ the \ event \ occurs}{Total \ number \ of \ trials}$
• 📊 Unlike theoretical probability, experimental probability can change with more trials.
• 💡 Key terms: Trial, Event, Frequency, Relative Frequency.
• 📝 Experimental probability provides an estimate of the likelihood of an event.

🧪 Practice Quiz

1. A spinner is spun 50 times. It lands on red 15 times. What is the experimental probability of landing on red?

   1. $\frac{1}{50}$
   2. $\frac{3}{10}$
   3. $\frac{1}{15}$
   4. $\frac{1}{5}$

2. A bag contains colored marbles. A marble is drawn, its color noted, and then replaced. This is done 30 times. A green marble is drawn 8 times. What is the experimental probability of drawing a green marble?

   1. $\frac{4}{15}$
   2. $\frac{1}{30}$
   3. $\frac{1}{8}$
   4. $\frac{8}{30}$

3. A dice is rolled 25 times. The number 4 appears 6 times. What is the experimental probability of rolling a 4?

   1. $\frac{6}{25}$
   2. $\frac{1}{6}$
   3. $\frac{1}{4}$
   4. $\frac{4}{25}$

4. A coin is tossed 40 times. Heads appears 22 times. What is the experimental probability of tails appearing?

   1. $\frac{22}{40}$
   2. $\frac{18}{40}$
   3. $\frac{1}{2}$
   4. $\frac{1}{40}$

5. A basketball player attempts 60 free throws and makes 48 of them. What is the experimental probability that the player will make the next free throw?

   1. $\frac{48}{60}$
   2. $\frac{1}{60}$
   3. $\frac{1}{48}$
   4. $\frac{12}{60}$

6. A random number generator selects the number 7 a total of 12 times out of 100 tries. What is the experimental probability of generating the number 7?

   1. $\frac{1}{12}$
   2. $\frac{12}{100}$
   3. $\frac{1}{100}$
   4. $\frac{88}{100}$

7. A survey of 200 people finds that 70 prefer coffee over tea. What is the experimental probability that a randomly selected person prefers tea?

   1. $\frac{70}{200}$
   2. $\frac{130}{200}$
   3. $\frac{200}{70}$
   4. $\frac{200}{130}$