Liz flips a coin 50 times. The coin lands heads 20 times and tails up 30 times. complete each statement. ### Understanding Probability: An Educational Exercise#### Coin Flip ExperimentLiz flips a coin 50 times. The coin lands heads up 20 times and tails up 30 times. Complete each statement:1. **Theoretical Probability of Heads:** \[ \text{The theoretical probability of the coin landing heads up is } \boxed{\frac{1}{2}}\text{.} \]2. **Experimental Probability of Heads:** \[ \text{Based on Liz’s results, the experimental probability of the coin landing heads up is } \boxed{\frac{20}{50}}\text{ or } \boxed{0.4}\text{.} \]3. **Comparing Theoretical and Experimental Probability:** \[ \text{The theoretical probability is } \boxed{\text{greater}} \text{ than the experimental probability in this experiment.} \]#### Spinner ExperimentJen spins a spinner 25 times and has an experimental probability of the spinner landing on 3 to be 4%. The theoretical probability of the spinner landing on 3 is 4% or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?Note: Both experiments reflect the difference between theoretical and experimental probabilities, emphasizing the role of sample size and chance in experimental outcomes.

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Le ips a coin 50 times. The coin lands heads up Based on Liz's results, the experimental probability The theoretical probability of the coin landing 20 tones and talls up 30 times. Complete each 20 tunes and talls up 30 times. Complete a u statement. heads up is of the coin landing heads up is The theoretical probability is than he experimental probability in this experiment.

Le ips a coin 50 times. The coin lands heads up Based on Liz's results, the experimental probability The theoretical probability of the coin landing 20 tones and talls up 30 times. Complete each 20 tunes and talls up 30 times. Complete a u statement. heads up is of the coin landing heads up is The theoretical probability is than he experimental probability in this experiment.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 14CR

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Equations and inequalities describe the relationship between two mathematical expressions.

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Question

Liz flips a coin 50 times. The coin lands heads 20 times and tails up 30 times. complete each statement.

### Understanding Probability: An Educational Exercise

#### Coin Flip Experiment

Liz flips a coin 50 times. The coin lands heads up 20 times and tails up 30 times. Complete each statement:

1. **Theoretical Probability of Heads:**
\[
\text{The theoretical probability of the coin landing heads up is } \boxed{\frac{1}{2}}\text{.}
\]

2. **Experimental Probability of Heads:**
\[
\text{Based on Liz’s results, the experimental probability of the coin landing heads up is } \boxed{\frac{20}{50}}\text{ or } \boxed{0.4}\text{.}
\]

3. **Comparing Theoretical and Experimental Probability:**
\[
\text{The theoretical probability is } \boxed{\text{greater}} \text{ than the experimental probability in this experiment.}
\]

#### Spinner Experiment

Jen spins a spinner 25 times and has an experimental probability of the spinner landing on 3 to be 4%. The theoretical probability of the spinner landing on 3 is 4% or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?

Note: Both experiments reflect the difference between theoretical and experimental probabilities, emphasizing the role of sample size and chance in experimental outcomes.

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