Screenshot of a quiz worksheet titled "Quiz & Worksheet - Theoretical vs. Experimental Probability" featuring multiple-choice questions about probability concepts.

Here are the step-by-step solutions for the questions in the worksheet.

Question 1

Problem: You flip a coin 50 times and get 20 tails. What is the experimental probability of getting tails?

Step-by-Step Solution:
1. Understand Experimental Probability: This is calculated based on what actually happened during an experiment. The formula is:
$$\text{Experimental Probability} = \frac{\text{Number of times the event occurred}}{\text{Total number of trials}}$$
2. Identify the numbers:
* The event is "getting tails." It happened 20 times.
* The total number of flips (trials) is 50.
3. Set up the fraction:
$$\frac{20}{50}$$
4. Convert to a percentage: To turn this fraction into a percentage, you can simplify it or divide.
* $\frac{20}{50}$ simplifies to $\frac{2}{5}$.
* $\frac{2}{5} = 0.4$
* $0.4 \times 100 = 40\%$

Correct Option: 40%

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Question 2

Problem: Theoretical probability calculates the number of times an event \_\_\_\_ happen, while experimental probability calculates the number of times an event \_\_\_\_ happen.

Step-by-Step Solution:
1. Theoretical Probability: This is based on logic and math before you do anything. It predicts what is *possible* or what *should* happen. For example, a coin has two sides, so it *can* land on heads. It hasn't happened yet; we are just calculating the possibility. So, the first blank is "Can".
2. Experimental Probability: This is based on doing the actual experiment (like flipping the coin). It records what *actually* occurred in the past. So, the second blank is "Did".

Correct Option: Can, Did

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Question 3

Problem: Theoretical probability uses only \_\_\_\_, while experimental probability uses \_\_\_\_.

Step-by-Step Solution:
1. Theoretical Probability: You don't need to flip a coin to know the theoretical probability. You just need to know how many sides a coin has. This relies on facts and logic, which is Knowledge.
2. Experimental Probability: To find this, you have to physically perform the action (flip the coin, roll the dice) and record the results. This relies on Actual experience.

Correct Option: Knowledge, Actual experience

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Final Answer:
1. 40%
2. Can, Did
3. Knowledge, Actual experience